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 Next

Displaying 1 – 20 of 321

A class of symmetric spaces

Fabio Podestà (1989)

Bulletin de la Société Mathématique de France

A contact metric manifold satisfying a certain curvature condition

Jong Taek Cho (1995)

Archivum Mathematicum

In the present paper we investigate a contact metric manifold satisfying (C) $({\bar{\nabla}}_{\dot{γ}} R) (\cdot, \dot{γ}) \dot{γ} = 0$ for any $\bar{\nabla}$ -geodesic $γ$ , where $\bar{\nabla}$ is the Tanaka connection. We classify the 3-dimensional contact metric manifolds satisfying (C) for any $\bar{\nabla}$ -geodesic $γ$ . Also, we prove a structure theorem for a contact metric manifold with $ξ$ belonging to the $k$ -nullity distribution and satisfying (C) for any $\bar{\nabla}$ -geodesic $γ$ .

A differential geometric characterization of invariant domains of holomorphy

Gregor Fels (1995)

Annales de l'institut Fourier

Let $G = K^{ℂ}$ be a complex reductive group. We give a description both of domains $Ω \subset G$ and plurisubharmonic functions, which are invariant by the compact group, $K$ , acting on $G$ by (right) translation. This is done in terms of curvature of the associated Riemannian symmetric space $M : = G / K$ . Such an invariant domain $Ω$ with a smooth boundary is Stein if and only if the corresponding domain $Ω_{M} \subset M$ is geodesically convex and the sectional curvature of its boundary $S : = \partial Ω_{M}$ fulfills the condition $K^{S} (E) \geq K^{M} (E) + k (E, n)$ . The term $k (E, n)$ is explicitly computable...

A differential geometric characterization of symmetric spaces of higher rank

Patrick Eberlein, Jens Heber (1990)

Publications Mathématiques de l'IHÉS

A Foliated Metric Rigidity Theorem for Higher Rank Irreducible Symmetric Spaces.

S. Adams, L. Hernández (1994)

Geometric and functional analysis

A nonlinear Poisson transform for Einstein metrics on product spaces

Olivier Biquard, Rafe Mazzeo (2011)

Journal of the European Mathematical Society

We consider the Einstein deformations of the reducible rank two symmetric spaces of noncompact type. If $M$ is the product of any two real, complex, quaternionic or octonionic hyperbolic spaces, we prove that the family of nearby Einstein metrics is parametrized by certain new geometric structures on the Furstenberg boundary of $M$ .

A short topological proof for the symmetry of 2 point homogeneous spaces.

Z.I. Szabó (1991)

Inventiones mathematicae

A unified approach to compact symmetric spaces of rank one

Adam Korányi, Fulvio Ricci (2010)

Colloquium Mathematicae

A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.

Addendum to "Existence of Hermitian n-Symmetric Spaces and of Non-commutative Naturally Reductive Spaces".

J. Alfredo Jiménez (1988)

Mathematische Zeitschrift

Admissible distributions on p-adic symmetric spaces.

Jeffrey Hakim (1994)

Journal für die reine und angewandte Mathematik

Algebraically independent generators of invariant differential operators on a symmetric cone.

Takaaki Nomura (1989)

Journal für die reine und angewandte Mathematik

Almost contact metric submersions and curvature tensors.

Tshikunguila Tshikuna-Matamba (2005)

Extracta Mathematicae

It is known that L. Vanhecke, among other geometers, has studied curvature properties both on almost Hermitian and almost contact metric manifolds.The purpose of this paper is to interrelate these properties within the theory of almost contact metric submersions. So, we examine the following problem: Let f: M → B be an almost contact metric submersion. Suppose that the total space is a C(α)-manifold. What curvature properties do have the fibres or the base space?

Currently displaying 1 – 20 of 321

Page 1 Next

Displaying 1 – 20 of 321

A class of symmetric spaces

A contact metric manifold satisfying a certain curvature condition

A differential geometric characterization of invariant domains of holomorphy

A differential geometric characterization of symmetric spaces of higher rank

A Foliated Metric Rigidity Theorem for Higher Rank Irreducible Symmetric Spaces.

A nonlinear Poisson transform for Einstein metrics on product spaces

A short topological proof for the symmetry of 2 point homogeneous spaces.

A unified approach to compact symmetric spaces of rank one

Addendum to "Existence of Hermitian n-Symmetric Spaces and of Non-commutative Naturally Reductive Spaces".

Admissible distributions on p-adic symmetric spaces.

Algebraically independent generators of invariant differential operators on a symmetric cone.

Almost contact metric submersions and curvature tensors.

Almost Hermitian manifolds with constant holomorphic sectional curvature

An exhaustion of locally symmetric spaces by compact submanifolds with corners.

Associated families of pluriharmonic maps and isotropy.

Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees

Asymptotic geometry of arithmetic quotients of symmetric spaces.

Ball-Homogeneous and Disk-Homogeneous Riemannian Manifolds.

Bochner and Schoenberg theorems on symmetric spaces in the complex case

Boundaries for left-invariant sub-elliptic operators on semidirect products of nilpotent and abelian groups.

Currently displaying 1 – 20 of 321