EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 17 of 17

Real Homotopy Theory of Kähler Manifolds.

P., Griffiths, P. Deligne, J. Morgan (1975)

Inventiones mathematicae

Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition II

Hyunjin Lee, Seonhui Kim, Young Jin Suh (2014)

Czechoslovak Mathematical Journal

Lee, Kim and Suh (2012) gave a characterization for real hypersurfaces $M$ of Type $(A)$ in complex two plane Grassmannians $G_{2} (ℂ^{m + 2})$ with a commuting condition between the shape operator $A$ and the structure tensors $φ$ and $φ_{1}$ for $M$ in $G_{2} (ℂ^{m + 2})$ . Motivated by this geometrical notion, in this paper we consider a new commuting condition in relation to the shape operator $A$ and a new operator $φ φ_{1}$ induced by two structure tensors $φ$ and $φ_{1}$ . That is, this commuting shape operator is given by $φ φ_{1} A = A φ φ_{1}$ . Using this condition, we prove that...

Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition

Hyunjin Lee, Seonhui Kim, Young Jin Suh (2012)

Czechoslovak Mathematical Journal

In this paper, first we introduce a new notion of commuting condition that $φ φ_{1} A = A φ_{1} φ$ between the shape operator $A$ and the structure tensors $φ$ and $φ_{1}$ for real hypersurfaces in $G_{2} (ℂ^{m + 2})$ . Suprisingly, real hypersurfaces of type $(A)$ , that is, a tube over a totally geodesic $G_{2} (ℂ^{m + 1})$ in complex two plane Grassmannians $G_{2} (ℂ^{m + 2})$ satisfy this commuting condition. Next we consider a complete classification of Hopf hypersurfaces in $G_{2} (ℂ^{m + 2})$ satisfying the commuting condition. Finally we get a characterization of Type $(A)$ in terms of such commuting...

Real hypersurfaces of type $A$ in quaternionic projective space.

Ki, U-Hang, Suh, Young Jin, de Dios Pérez, Juan (1997)

International Journal of Mathematics and Mathematical Sciences

Real hypersurfaces with constant principal curvatures in complex hyperbolic space.

Jürgen Berndt (1989)

Journal für die reine und angewandte Mathematik

Real hypersurfaces with constant totally real sectional curvature in a complex space form

Miguel Ortega, Juan de Dios Pérez, Young Jin Suh (2000)

Czechoslovak Mathematical Journal

We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.

Réduction algébrique d'un morphisme faiblement Kählérien propre et applications.

F. Campana (1981)

Mathematische Annalen

Reduction of the codimension of a generic minimal submanifold immersed in a complex projective space

Masahiro Yamagata, Masahiro Kon (1998)

Colloquium Mathematicae

Regularization of currents and entropy

Tien-Cuong Dinh, Nessim Sibony (2004)

Annales scientifiques de l'École Normale Supérieure

Relative K-stability of extremal metrics

Jacopo Stoppa, Gábor Székelyhidi (2011)

Journal of the European Mathematical Society

We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.

Remark on mixed foliate generic submanifolds

Opozda, Barbara (1985)

Proceedings of the Winter School "Geometry and Physics"

Remarkable operators and commutation formulas on locally conformal Kähler manifolds

Izu Vaisman (1980)

Compositio Mathematica

Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.

Wei-Yue Ding (1988)

Mathematische Annalen

Remarques sur le revêtement universel des variétés kählériennes compactes

Fredéric Campana (1994)

Bulletin de la Société Mathématique de France

Ricci-flat Kähler metrics on affine algebraic manifolds. II.

Ryoichi Kobayashi, Shigetoshi Bando (1990)

Mathematische Annalen

Rigidité infinitésimale et géométrie de la quadrique complexe de dimension 4

Jacques Gasqui (1990/1991)

Séminaire de théorie spectrale et géométrie

Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces

Hassan Boualem, Marc Herzlich (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Any Kähler metric on the ball which is strongly asymptotic to complex hyperbolic space and whose scalar curvature is no less than the one of the complex hyperbolic space must be isometrically biholomorphic to it. This result has been known for some time in odd complex dimension and we provide here a proof in even dimension.

Currently displaying 1 – 17 of 17

Page 1