Results 31 to 40 of about 884 (174)
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
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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 Kähler potential for Kähler geometry. It is also shown that every locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a locally Kähler-Einstein manifold in dimension $2k$
Godliński, Michał +2 more
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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
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Submanifolds of a conformal Sasakian manifold
Boletim da Sociedade Paranaense de Matemática, 2020 In the present paper, some results on geometry of conformal Sasakian manifolds and their associated submanifolds are provided. Besides this an example of a three-dimensional conformal Sasakian manifold is constructed for illustration that is not Sasakian manifold.
Esmaiel Abedi, Mohammad Ilmakchi
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Three-dimensional trans-Sasakian manifolds and solitons [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The authors set the goal to find the solution of the Eisenhart problem within the framework of three-dimensional trans-Sasakian manifolds.
Sudhakar Kumar Chaubey, Uday Chand De
doaj +1 more source
ON NON-INVARIANT HYPERSURFACES OF AN ε-PARA SASAKIAN MANIFOLD [PDF]
, 2020 In the present paper non-invariant hypersurfaces of an ε- para Sasakian manifold of an induced structure (f,g,u,v,λ) are studied. Some properties followed by this structure are obtained.
Kishor, Shyam, Kanaujia, Prerna
core +1 more source
$m$-quasi-$*$-Einstein contact metric manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2022 The goal of this article is to introduce and study the characterstics of $m$-quasi-$*$-Einstein metric on contact Riemannian manifolds. First, we prove that if a Sasakian manifold admits a gradient $m$-quasi-$*$-Einstein metric, then $M$ is $\eta ...
H.A. Kumara, V. Venkatesha, D.M. Naik
doaj +1 more source
SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS [PDF]
Glasgow Mathematical Journal, 2000 In this paper, we show new results on slant submanifolds of an almost contact metric manifold. We study and characterize slant submanifolds of K-contact and Sasakian manifolds. We also study the special class of three-dimensional slant submanifolds. We give several examples of slant submanifolds.1991 Mathematics Subject Classification 53C15, 53C40.
Cabrerizo, J. L. +3 more
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Higgs Bundles on Sasakian Manifolds [PDF]
International Mathematics Research Notices, 2017 We extend the Donaldson-Corlette-Hitchin-Simpson correspondence between Higgs bundles and flat connections on compact Kähler manifolds to compact quasi-regular Sasakian manifolds. A particular consequence is the translation of restrictions on Kähler groups proved using the Donaldson-Corlette-Hitchin-Simpson correspondence to fundamental groups of ...
Biswas, Indranil, Mj, Mahan
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