Results 21 to 30 of about 4,274 (159)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel +3 more
wiley +1 more source
A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj +1 more source
A non-Sasakian Lefschetz K-contact manifold of Tievsky type [PDF]
, 2016 We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of $K$-contact manifolds which satisfy the Hard Lefschetz Theorem and have a model of Tievsky type just as Sasakian manifolds but do not admit ...
Cappelletti-Montano, Beniamino +3 more
core +2 more sources
G2${\mathrm{G}}_2$‐instantons on the 7‐sphere
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3711-3745, December 2022., 2022 Abstract We study the deformation theory of G2${\mathrm{G}}_2$‐instantons on the round 7‐sphere, specifically those obtained from instantons on the 4‐sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15‐dimensional family of G2${\mathrm{G}}_2$‐instantons.
Alex Waldron
wiley +1 more source
Classical and Quantum Gravity, 2000 We show that every Sasakian manifold in dimension $2k+1$ is locally generated by a free real function of $2k$ variables. This function is a Sasakian analogue of the K hler potential for K hler geometry. It is also shown that every locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a locally K hler-Einstein manifold in dimension $
Godliński, Michał +2 more
openaire +3 more sources
Uniformizations of Compact Sasakian Manifolds
International Mathematics Research Notices, 2023 Abstract We give a criterion for compact Sasakian manifolds to be deformed to Sasakian manifolds, which are locally isomorphic to circle bundles of anti-canonical bundles over Hermitian symmetric spaces as a Sasakian analogue of Simpson’s uniformization results related to variations of Hodge structure and Higgs bundles.
Kasuya, Hisashi, Miyatake, Natsuo
openaire +2 more sources
Sasaki structures distinguished by their basic Hodge numbers
Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1962-1977, October 2022., 2022 Abstract In all odd dimensions at least 5 we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension 5 we prove more precise results, for example, we show that on connected sums of copies of S2×S3$S^2\times S^3$ the number of Sasaki structures with different basic Hodge numbers within a fixed ...
D. Kotschick, G. Placini
wiley +1 more source
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 Let \((M,g)\) be a Riemannian manifold. If \(\xi\) is a Killing vector field of unit length, \(\eta\) is the 1-form dual to \(\xi\) with respect to \(g\) and \(\Phi\) is the tensor field of type \((1,1)\) defined by \(\Phi= \nabla\xi\), \(\xi\) is said to be a Sasakian structure if the two following conditions are fulfilled: \((\nabla_ X \Phi) (Y ...
Boyer, Charles P. +2 more
openaire +2 more sources
Higgs Bundles on Sasakian Manifolds [PDF]
International Mathematics Research Notices, 2017 Final version; to appear in ...
Biswas, Indranil, Mj, Mahan
openaire +2 more sources
Slant Riemannian submersions from Sasakian manifolds
Arab Journal of Mathematical Sciences, 2016 We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds.
I. Küpeli Erken, C. Murathan
doaj +1 more source