Results 51 to 60 of about 1,788 (104)

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

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

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

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

H-functional and Matsushima type decomposition theorem

, 2019
The H-functional characterizes K\"ahler-Ricci solitons as its critical points, and also plays an important role of the existence problem for K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the H-functional at its critical points,
Nakamura, Satoshi
core  

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

Nearly Sasakian manifolds revisited

Complex Manifolds, 2019
We provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly Sasakian.
Cappelletti-Montano Beniamino, De Nicola Antonio, Dileo Giulia, Yudin Ivan   +3 more
doaj   +1 more source

Complete shrinking Riemann solitons [PDF]

Arab Journal of Mathematical Sciences
PurposeThis paper investigates the topological and geometric properties of complete shrinking Riemann solitons (Mm, g, µ, V), extending classical results from Ricci solitons to the more general Riemann soliton setting.Design/methodology/approachWe employ
Mehdi Jafari, Shahroud Azami
doaj   +1 more source

D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]

Rev Mat Complut, 2023
Csikós B, Elnashar A, Horváth M.
europepmc   +1 more source