Results 51 to 60 of about 124 (116)

Strongly pseudo-convex CR space forms

Complex Manifolds, 2019
For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection.
Cho Jong Taek
doaj   +1 more source

η-Ricci Solitons on Sasakian 3-Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip, De Uday Chand, Kar Debabrata   +2 more
doaj   +1 more source

© Hindawi Publishing Corp. SOME SUBMERSIONS OF CR-HYPERSURFACES OF KAEHLER-EINSTEIN MANIFOLD

, 2002
The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein man-ifold M ̃ are studied. If M is an extrinsic CR-hypersurface of M ̃ , then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
core  

A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors

Open Mathematics, 2016
Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
doaj   +1 more source

On Sectional Curvatures of Quasi-Einstein Manifolds

, 2012
Generalizations of Einstein manifolds are important in order to have a deeper understanding of the global characteristics of the universe including its topology.
Richard S Lemence
core  

Perturbation compactness and uniqueness for a class of conformally compact Einstein manifolds

Advanced Nonlinear Studies
In this paper, we establish compactness results for some classes of conformally compact Einstein metrics defined on manifolds of dimension d ≥ 4. In the special case when the manifold is the Euclidean ball with the unit sphere as the conformal infinity ...
Chang Sun-Yung Alice, Ge Yuxin, Jin Xiaoshang, Qing Jie   +3 more
doaj   +1 more source

© Hindawi Publishing Corp. A NOTE ON CHEN’S BASIC EQUALITY FOR SUBMANIFOLDS IN A SASAKIAN SPACE FORM

, 2002
It is proved that a Riemannian manifold M isometrically immersed in a Sasakian space form M̃(c) of constant ϕ-sectional curvature c < 1, with the structure vec-tor field ξ tangent to M, satisfies Chen’s basic equality if and only if it is a 3 ...
Mukut Mani Tripathi, Jeong-sik Kim, Seon-bu Kim   +2 more
core  

The Fischer-Marsden conjecture on almost Kenmotsu manifolds

, 2020
The purpose of this paper is to investigate the Fischer-Marsden conjecture on almost Kenmotsu manifolds. First, we prove that if a three-dimensional non-Kenmotsu (k, μ)' -almost Kenmotsu manifold satisfies the Fischer-Marsden conjecture, then the ...
De, U.C., Mandal, Krishanu
core  

SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES

Forum of Mathematics, Sigma, 2017
We establish the compactness of the moduli space of noncollapsed Calabi–Yau spaces with mild singularities. Based on this compactness result, we develop a new approach to study the weak compactness of Riemannian manifolds.
XIUXIONG CHEN, BING WANG
doaj   +1 more source

On the rigidity of ℂℙ2n × ℂℙ1

Complex Manifolds
We revisit Koiso’s original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso’s obstruction to the integrability of the infinitesimal deformations on CP2n×CP1{{\mathbb{CP}}}^{2n}\times {{\mathbb{CP}}}^{1} using ...
Hall Stuart James
doaj   +1 more source