Results 51 to 60 of about 4,274 (159)
Constructions in Sasakian Geometry
, 2007 We describe various constructions in Sasakian geometry. First we generalize the join construction of the first two authors to arbitrary Sasakian manifolds.
Boyer, Charles P. +2 more
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Tohoku Mathematical Journal, 2008 Let \(\pi: M\to B\) be a Riemannian orbifold submersion with totally geodesic leaves such that for any \(V\in T_x F\) (\(F\) is the leaf) and any \(X,Y\in T_x M\) it holds that \(R(X,Y)V=\langle Y,V\rangle X-\langle X,V\rangle Y\) for each \(x\in M\). Then \(M\) is said to be \(n\)-Sasakian, where \(n=\dim F\). This is a generalization of the notion of
openaire +3 more sources
Para-Sasakian manifolds and $$*$$-Ricci solitons [PDF]
Afrika Matematika, 2019 12 ...
D. G. Prakasha, P. Veeresha
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A Note on Nearly Sasakian Manifolds
Mathematics, 2023 A class of nearly Sasakian manifolds is considered in this paper. We discuss the geometric effects of some symmetries on such manifolds and show, under a certain condition, that the class of Ricci semi-symmetric nearly Sasakian manifolds is a subclass of
Fortuné Massamba, Arthur Nzunogera
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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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The odd-dimensional Goldberg Conjecture [PDF]
, 2003 An odd-dimensional version of the Goldberg conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones.
Apostolov +8 more
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Radical Transversal Lightlike Submanifolds of Indefinite Para-Sasakian Manifolds
Demonstratio Mathematica, 2014 In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds.
Shukla S.S., Yadav Akhilesh
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Spectral geometry of $eta$-Einstein Sasakian manifolds
, 2012 We extend a result of Patodi for closed Riemannian manifolds to the context of closed contact manifolds by showing the condition that a manifold is an $\eta$-Einstein Sasakian manifold is spectrally determined.
Blair +21 more
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Prolonged almost quazi-Sasakian structures
Дифференциальная геометрия многообразий фигур, 2021 The notion of an almost quasi-Sasakian manifold is introduced. A manifold with an almost quasi-Sasakian structure is a generalization of a quasi-Sasakian manifold; the difference is that an almost quasi-Sasakian manifold is almost normal.
S.V. Galaev
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Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds [PDF]
, 2015 We consider some natural infinitesimal Einstein deformations on Sasakian and 3-Sasakian manifolds. Some of these are infinitesimal deformations of Killing spinors and further some integrate to actual Killing spinor deformations.
van Coevering, Craig
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