Results 1 to 10 of about 3,869 (125)
Some Non-Compactness Results for Locally Homogeneous Contact Metric Manifolds [PDF]
, 2022 We exhibit some sufficient conditions ensuring the non-compactness of a locally homogeneous, regular, contact metric manifold, under suitable assumptions on the Jacobi operator of the Reeb vector field. Mathematics Subject Classification. 53C25, 53C30.
Lotta, Antonio +1 more
core +1 more source
Geometric and Physical Properties of Curvature Tensors -A Review
Journal of International Academy Of Physical Sciences, 2023 Bernard Riemann was the first to define curvature tensor. Most of the curvature tensors are defined with the help of Riemann curvaturetensor, Ricci tensor and metric tensor.It has been observed that different combinations of Ricci tensor and metric ...
G. Pokhariyal
semanticscholar +1 more source
Almost complex structures on coframe bundle with Cheeger-Gromoll metric
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper we introduce several almost complex structures compatible with Cheeger-Gromoll metric on the coframe bundle and investigate their integrability conditions. Mathematics Subject Classification (2020).
A. Salimov, Habil Fattayev
semanticscholar +1 more source
Deformations of nearly G2 structures
Journal of the London Mathematical Society, Volume 104, Issue 4, Page 1795-1811, November 2021., 2021 Abstract We describe the second order obstruction to deformation for nearly G2 structures on compact manifolds. Building on work of Alexandrov and Semmelmann, this allows proving rigidity under deformation for the proper nearly G2 structure on the Aloff–Wallach space N(1,1).
Paul‐Andi Nagy, Uwe Semmelmann
wiley +1 more source
On Einstein warped product space with respect to semi symmetric metric connection
Hacettepe Journal of Mathematics and Statistics, 2021 In this paper, we study Einstein warped product space with respect to semi symmetric metric connection. During this study we establish some results on curvature, Ricci and scalar tensors with respect to semi symmetric metric connection and second order ...
B. Pal, Pankaj Kumar
semanticscholar +1 more source
Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Open Mathematics, 2022 In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem +3 more
doaj +1 more source
On the classification of gradient Ricci solitons [PDF]
, 2007 We show that the only shrinking gradient solitons with vanishing Weyl tensor and Ricci tensor satisfying a weak integral condition are quotients of the standard ones S n , S n 1 R and R n .
P. Petersen, W. Wylie
semanticscholar +1 more source
Transverse Kähler holonomy in Sasaki Geometry and S-Stability
Complex Manifolds, 2021 We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P. +2 more
doaj +1 more source
Boundary value problems for Einstein metrics, I [PDF]
, 2006 On any given compact manifold M nC1 with boundary @M , it is proved that the moduli space E of Einstein metrics on M , if non-empty, is a smooth, infinite dimensional Banach manifold, at least when 1.M;@M/D 0.
Michael T. Anderson
semanticscholar +1 more source
Normal complex contact metric manifolds admitting a semi symmetric metric connection
Applied Mathematics and Nonlinear Sciences, 2020 In this paper, we study on normal complex contact metric manifold admitting a semi symmetric metric connection. We obtain curvature properties of a normal complex contact metric manifold admitting a semi symmetric metric connection.
Vanli Aysel Turgut +2 more
doaj +1 more source