Results 1 to 10 of about 3,909 (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
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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
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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
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
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On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
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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
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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
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Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators
Open Mathematics, 2020 In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
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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
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