Results 61 to 70 of about 3,909 (125)

Jacobi fields of the Tanaka-Webster connection on Sasakian manifolds [PDF]

arXiv, 2006
We build a variational theory of geodesics of the Tanaka-Webster connection on a strictly pseudoconvex CR manifold.
arxiv  

A result on Ricci curvature and the second Betti number [PDF]

, 2016
We prove that the second Betti number of a compact Riemannian manifold vanishes under certain Ricci curved restriction.Comment: 5 pages.
Wan, Jianming
core  

On the pseudohermitian sectional curvature of a strictly pseudoconvex CR manifold [PDF]

arXiv, 2006
We study the pseudohermitian sectional curvature of a CR manifold.
arxiv  

Kahler surfaces with quasi-constant holomorphic curvature [PDF]

, 2014
The aim of this paper is to describe Kahler surfaces with quasi-constant holomorphic ...
arxiv   +1 more source

Survey: Homogeneous Einstein Manifolds [PDF]

arXiv, 2021
This survey builds on the two surveys by Wang and Lauret written almost a decade ago to give the current state of affairs regarding homogeneous Einstein spaces.
arxiv  

On Almost Generalized Weakly Symmetric LP-Sasakian Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds.
Baishya Kanak Kanti, Chowdhury Partha Roy   +1 more
doaj   +1 more source

The Lichnerowicz theorem on CR manifolds [PDF]

arXiv, 2006
We obtain a Bochner type formula and an estimate from below on the spectrum of the sublaplacian of a compact strictly pseudoconvex CR manifold.
arxiv  

Four-dimensional homogeneous critical metrics for quadratic curvature functionals [PDF]

arXiv, 2023
We determine all homogeneous metrics which are critical for some quadratic curvature functional in dimension four.
arxiv  

On maximal totally real embeddings

Complex Manifolds
We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle.
Pali Nefton
doaj   +1 more source

On curvature tensors of Norden and metallic pseudo-Riemannian manifolds

Complex Manifolds, 2019
We study some properties of curvature tensors of Norden and, more generally, metallic pseudo-Riemannian manifolds. We introduce the notion of J-sectional and J-bisectional curvature of a metallic pseudo-Riemannian manifold (M, J, g) and study their ...
Blaga Adara M., Nannicini Antonella
doaj   +1 more source