Publications of Jürgen Berndt
BOOKS

Submanifolds and holonomy, second edition
(with Sergio Console and Carlos Olmos),
Monographs and Research Notes in Mathematics, CRC Press, Boca Raton, FL, 2016, xxxviii+456 pp. ISBN: 9781482245158.

Submanifolds and holonomy
(with Sergio Console and Carlos Olmos),
Chapman & Hall/CRC Research Notes in Mathematics 434,
Chapman & Hall/CRC, Boca Raton, FL, 2003, x+336 pp. ISBN: 1584883715.

Generalized Heisenberg groups and DamekRicci harmonic spaces
(with Franco Tricerri and Lieven Vanhecke), Lecture Notes in Mathematics 1598,
SpringerVerlag, Berlin, 1995, viii+125 pp. ISBN: 3540590013.
RESEARCH ARTICLES
 The index of exceptional symmetric spaces (with Carlos Olmos and Juan Sebastián Rodríguez), arXiv:1905.06250 [math.DG].
 Submanifolds with constant principal curvatures in Riemannian symmetric spaces (with Víctor SanmartínLópez), arXiv:1805.10088 [math.DG].
 Real hypersurfaces with isometric Reeb flow in Kähler manifolds (with Young Jin Suh),
to appear in Commun. Contemp. Math.
 On the index of symmetric spaces (with Carlos Olmos),
J. Reine Angew. Math. 737 (2018), 3348.
 The index of compact simple Lie groups (with Carlos Olmos), Bull. London Math. Soc. 49 (2017), 903907.
 Cohomogeneity one actions on Minkowski spaces (with José Carlos DíazRamos and Mohammad Javad Vanaei),
Monatsh. Math. 184 (2017), 185200.
 Compact homogeneous Riemannian manifolds with low coindex of symmetry (with Carlos Olmos and Silvio Reggiani),
J. Eur. Math. Soc. (JEMS) 19 (2017), 221254.
 Maximal totally geodesic submanifolds and index of symmetric spaces (with Carlos Olmos),
J. Differential Geom. 104 (2016), 187217.
 Cohomogeneity one actions on some noncompact symmetric spaces of rank two (with Miguel DomínguezVázquez),
Transf. Groups 20 (2015), 921938.
 Contact hypersurfaces in Kähler manifolds (with Young Jin Suh),
Proc. Amer. Math. Soc 143 (2015), 26372649.
 Contact hypersurfaces in noncompact complex Grassmannians of rank two
(with Hyunjin Lee and Young Jin Suh),
Internat. J. Math. 24 (2013),
1350089 (11 pages).
 Cohomogeneity one actions on symmetric spaces of noncompact type
(with Hiroshi Tamaru),
J. Reine Angew. Math. 683 (2013), 129159.
 Real hypersurfaces with isometric Reeb flow in complex quadrics
(with Young Jin Suh),
Internat. J. Math. 24 (2013), 1350050 (18 pages).
 Polar actions on the complex hyperbolic plane
(with José Carlos DíazRamos),
Ann. Global Anal. Geom.
43 (2013), 99106.
 On the geometry of homogeneous real hypersurfaces in the complex quadric (with Young Jin Suh), in:
Proceedings of the Sixteenth International Workshop on Differential Geometry,
Daegu, October 31  November 3, 2012
(Kyungpook National University, Daegu, 2012) 19.
pdf
 Hypersurfaces in noncompact complex Grassmannians of rank two (with Young Jin Suh),
Internat. J. Math. 23 (2012), 1250103 (35 pages).
 Homogeneous polar foliations of complex hyperbolic spaces
(with José Carlos DíazRamos),
Comm. Anal. Geom. 20 (2012), 435454.
 Hyperpolar homogeneous foliations on symmetric spaces of noncompact type
(with José Carlos DíazRamos and Hiroshi Tamaru),
J. Differential Geom. 86 (2010), 191235.
 Homogeneous hypersurfaces in complex hyperbolic spaces
(with José Carlos DíazRamos),
Geom. Dedicata 138 (2009), 129150.
 Real hypersurfaces with constant principal curvatures in the
complex hyperbolic plane (with José Carlos DíazRamos),
Proc. Amer. Math. Soc. 135 (2007), 33493357.
 Cohomogeneity one actions on noncompact symmetric spaces of
rank one (with Hiroshi Tamaru),
Trans. Amer. Math. Soc. 359 (2007), 34253438.
 Real hypersurfaces with constant principal curvatures in
complex hyperbolic spaces (with José Carlos DíazRamos),
J. London Math. Soc. (2) 74 (2006), 778798.
 Symmetric submanifolds associated with irreducible
symmetric Rspaces (with JostHinrich Eschenburg, Hiroo Naitoh and
Kazumi Tsukada),
Math. Ann. 332 (2005), 721737.
 Cohomogeneity one actions on noncompact symmetric spaces with
a totally geodesic singular orbit (with Hiroshi Tamaru),
Tohoku Math. J. (2) 56 (2004), 163177.
 Projective planes, Severi varieties and spheres (with Michael
Atiyah), in:
Surv. Differ. Geom. VIII, Papers in Honor
of Calabi, Lawson, Siu and Uhlenbeck (International Press,
Somerville, MA, 2003) 127.
 Geodesics on the unit tangent bundle (with Eric Boeckx, Peter
Nagy and Lieven Vanhecke),
Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), 12091229.
 Homogeneous codimension one foliations on noncompact symmetric
spaces (with Hiroshi Tamaru),
J. Differential Geom. 63 (2003), 140.
 Harmonic and minimal unit vector fields on Riemannian
symmetric spaces (with Lieven Vanhecke and Laszlo Verhoczki),
Illinois J. Math. 47 (2003), 12731286.
 Rank rigidity, cones, and curvaturehomogeneous Hadamard manifolds
(with Evangelia Samiou),
Osaka J. Math. 39 (2002), 383394.
 Real hypersurfaces with isometric Reeb flow in complex
twoplane Grassmannians (with Young Jin Suh),
Monatsh. Math. 137 (2002), 8798.
 Cohomogeneity one actions on hyperbolic spaces
(with Martina Brück),
J. Reine Angew. Math. 541 (2001), 209235.
 On index number and topology of flag manifolds
(with Sergio Console and Anna Fino),
Differential Geom. Appl. 15 (2001), 8190.
 On infinitesimally kflat homogeneous spaces
(with Evangelia Samiou),
Bull. Belg. Math. Soc. Simon Stevin 8 (2001), 6166.
 Real hypersurfaces in complex twoplane Grassmannians
(with Young Jin Suh),
Monatsh. Math. 127 (1999), 114.
 φsymmetric spaces and weak symmetry
(with Lieven Vanhecke),
Boll. Unione Mat. Ital. (8) B2 (1999), 389392.
 Homogeneous hypersurfaces in hyperbolic spaces,
Math. Z. 229 (1998), 589600.
 Totally geodesic submanifolds of symmetriclike Riemannian manifolds
(with Friedbert Prüfer and Lieven Vanhecke),
Tsukuba J. Math. 22 (1998), 463475.
(Erratum)
 Weakly symmetric groups of Heisenberg type
(with Fulvio Ricci and Lieven Vanhecke),
Differential Geom. Appl. 8 (1998), 275284.
 Riemannian geometry of complex twoplane Grassmannians,
Rend. Sem. Mat. Univ. Politec. Torino 55 (1997), 1983.
 Geodesics in weakly symmetric spaces
(with Oldrich Kowalski and Lieven Vanhecke),
Ann. Global Anal. Geom. 15 (1997), 153156.
 Examples of weakly symmetric spaces in contact geometry
(with Philippe Tondeur and Lieven Vanhecke),
Boll. Unione Mat. Ital. (7) B11 (1997), Suppl. fasc. 2, 110.
 Geodesic spheres and twopoint homogeneous spaces
(with Friedbert Prüfer and Lieven Vanhecke),
Israel J. Math. 93 (1996), 373385.
 Geometry of weakly symmetric spaces
(with Lieven Vanhecke),
J. Math. Soc. Japan 48 (1996), 745760.
 Almost complex curves and hypersurfaces in the nearly Kähler 6sphere
(with John Bolton and Lyndon Woodward),
Geom. Dedicata 56 (1995), 237247.
 Symmetriclike Riemannian manifolds and geodesic symmetries
(with Friedbert Prüfer and Lieven Vanhecke),
Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 265282.
 Geometry of generalized Heisenberg groups and their DamekRicci harmonic extensions
(with Franco Tricerri and Lieven Vanhecke),
C. R. Math. Acad. Sci. Paris 318 (1994), 471476.
 Minimal Liouville surfaces in Euclidean spaces
(with John Bolton and Lyndon Woodward), in:
Proceedings of the Conferences on Differential Geometry and Vision,
Leuven, July 1011, 14, 1992, and Theory of Submanifolds, Brussels, July 1213, 1992
(World Scientific, River Edge, 1993) 2640.
pdf
 Geodesic spheres and generalizations of locally symmetric spaces
(with Lieven Vanhecke),
Boll. Unione Mat. Ital. (7) A7 (1993), 125134.
 Naturally reductive Riemannian homogeneous spaces and real
hypersurfaces in complex and quaternionic space forms
(with Lieven Vanhecke), in:
Proceedings of the Fifth International Conference on Differential
Geometry and its Applications,
Opava, August 2428, 1992
(Silesian University at Opava, Opava, 1993) 353364.
pdf
 Threedimensional Einsteinlike manifolds,
Differential Geom. Appl. 2 (1992), 385397.
 Two natural generalizations of locally symmetric spaces
(with Lieven Vanhecke),
Differential Geom. Appl. 2 (1992), 5780.
 Curvatureadapted submanifolds
(with Lieven Vanhecke),
Nihonkai Math. J. 3 (1992), 177185.
 Geodesic sprays and C and Pspaces
(with Lieven Vanhecke), in:
Proceedings of the Meeting on Differential Geometry,
Turin, May 2930, 1992,
Rend. Sem. Mat. Univ. Politec. Torino 50 (1992), 343358.
 Real hypersurfaces in quaternionic space forms,
J. Reine Angew. Math. 419 (1991), 926.
 Real hypersurfaces with constant principal curvatures in complex hyperbolic space,
J. Reine Angew. Math. 395 (1989), 132141.
SURVEY ARTICLES
 Totally geodesic submanifolds of Riemannian symmetric spaces, in:
Real and Complex Submanifolds, Proceedings of the ICM2014 Satellite Conference,
Daejeon, Korea, August 2014
(Springer, Tokyo, 2014) 3342.
Link to paper
 Contact hypersurfaces in Kähler manifolds, in:
Proceedings of the Seventeenth International Workshop on Differential Geometry,
Daejeon, September 30  October 2, 2013
(Kyungpook National University, Daegu, 2013) 111.
pdf
 Polar actions on symmetric spaces, in:
Proceedings of the Fifteenth International Workshop on Differential Geometry,
Daegu, November 25, 2011
(Kyungpook National University, Daegu, 2011) 110.
pdf
 A note on hypersurfaces in symmetric spaces, in:
Proceedings of the Fourteenth International Workshop on Differential Geometry,
Daegu, November 46, 2010
(Kyungpook National University, Daegu, 2010) 3141.
pdf
 Hyperpolar homogeneous foliations on symmetric spaces of noncompact type, in:
Proceedings of the Thirteenth International Workshop on Differential Geometry,
Daegu, November 57, 2009
(Kyungpook National University, Daegu, 2009) 3757,
arXiv:0912.4408.
 Real hypersurfaces with constant principal curvatures
in complex space forms, in:
Proceedings of the Tenth International Workshop on Differential Geometry,
Daegu, November 1011, 2005
(Real and Complex Submanifolds Lab., Kyungpook National
University, Daegu, 2006) 112.
pdf
 Symmetric submanifolds of symmetric spaces, in:
Proceedings of the Seventh International Workshop on Differential Geometry,
Daegu, November 1516, 2002
(Real and Complex Submanifolds Lab., Kyungpook National
University, Daegu, 2003) 115.
pdf
 Geometry of weakly symmetric spaces, in:
Proceedings of the Fourth International Workshop on
Differential Geometry and Its Applications,
Brasov, September 1622, 1999
(Transilvania University Press, Brasov, 2000) 6673.
pdf
 On curvature and submanifolds of complex twoplane Grassmannians, in:
Proceedings of the Second International Workshop on Differential Geometry,
Daegu, December 1920, 1997
(Basic Science Research Institute, Daegu, 1998) 115.
pdf
 On homogeneous hypersurfaces in Riemannian symmetric spaces, in:
Proceedings of the Second International Workshop on Differential Geometry,
Daegu, December 1920, 1997
(Basic Science Research Institute, Daegu, 1998) 1734.
pdf
 Aspects of the geometry of the Jacobi operator
(with Lieven Vanhecke), in:
Proceedings of the International Conference on Differential Geometry
and Complex Analysis in honor of the 70th birthday of G.B. Rizza,
Parma, May 1920, 1994,
Riv. Mat. Univ. Parma (5) 3 (1994), 91108.
 Real hypersurfaces with constant principal curvatures in complex space forms,
in: Proceedings of the International Meeting on Geometry and Topology of Submanifolds,
Avignon, May 30  June 3, 1988
(World Scientific, Teaneck, 1990) 1019.
pdf
CONFERENCE PROCEEDINGS
 Real and complex submanifolds, ICM2014 Satellite Conference, Daejeon, Korea (edited with Byung Hak Kim, Hyunjin Lee, Yoshihiro Ohnita and Young Jin Suh), Springer Proceedings in Mathematics and Statistics 106, Springer, 2014, 476 pp. ISBN 9784431552147.
MONOGRAPHS
 A new approach to the complex Grassmann manifolds
CG_{2,m},
Habilitation Thesis, University of Cologne, Germany, 1994, 79 pp.
 Über Untermannigfaltigkeiten von komplexen Raumformen
(On submanifolds of complex space forms),
Ph.D. Thesis, University of Cologne, Germany, 1989, 107 pp. pdf
LECTURE NOTES
 Lie group actions on manifolds,
Lecture notes of a graduate course given at
Sophia University, Tokyo, October 2002, 59 pp.
pdf
Return to homepage
Last update: 16 May 2019