Results 41 to 50 of about 1,828 (149)
∗‐Ricci Tensor on α‐Cosymplectic Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this paper, we study α‐cosymplectic manifold M admitting ∗‐Ricci tensor. First, it is shown that a ∗‐Ricci semisymmetric manifold M is ∗‐Ricci flat and a ϕ‐conformally flat manifold M is an η‐Einstein manifold. Furthermore, the ∗‐Weyl curvature tensor W∗ on M has been considered.
M. R. Amruthalakshmi +4 more
wiley +1 more source
Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds [PDF]
, 2014 Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this ...
A Agrachev +37 more
core +2 more sources
On Compact Trans‐Sasakian Manifolds
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 We study 3‐dimensional compact and simply connected trans‐Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds. The first two results deal with finding necessary and sufficient conditions on a compact and simply connected trans‐Sasakian manifold to be homothetic to an Einstein ...
Ibrahim Al-Dayel +2 more
wiley +1 more source
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we establish a Chen–Ricci inequality for a C‐totally real warped product submanifold Mn of Sasakian space forms M21m+ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second‐order ...
Fatemah Mofarreh +4 more
wiley +1 more source
Generalized Sasakian-Space-Forms with Projective Curvature Tensor
Demonstratio Mathematica, 2014 The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-symmetric generalized Sasakian-space-forms.
Sarkar A., Akbar Ali
doaj +1 more source
D A -Homothetic Deformation of K-Contact Manifolds [PDF]
, 2013 We study Da-homothetic deformations of K-contact manifolds. We prove that Da-homothetically deformed K-contact manifold is a generalized Sasakian space form if it is conharmonically flat.
Nagaraja, H.G., Premalatha, C.R.
core +2 more sources
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]
, 2012 The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Vilcu, Gabriel Eduard, Visinescu, Mihai
core +3 more sources
Sasaki-Einstein Manifolds [PDF]
, 2010 This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.Comment: 58 pages ...
Sparks, James
core +1 more source
Axioms, 2018 We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results.
Dae Ho Jin, Jae Won Lee
doaj +1 more source
Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres [PDF]
, 2019 We study quiver gauge theories on the round and squashed seven-spheres, and orbifolds thereof. They arise by imposing $G$-equivariance on the homogeneous space $G/H=\mathrm{SU}(4)/\mathrm{SU}(3)$ endowed with its Sasaki-Einstein structure, and $G/H ...
Geipel, Jakob C. +3 more
core +4 more sources