Results 41 to 50 of about 3,845 (153)
On Eta-Einstein Sasakian Geometry [PDF]
, 2005 We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many ...
Boyer, Charles P. +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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Turkish Journal of Mathematics, 2013 In this study, almost contact Finsler structures on vector bundle are defined and the condition of normality in terms of the Nijenhuis torsion Nf of almost contact Finsler structure is obtained. It is shown that for a K-contact structure on Finsler manifold \nablaX x =-\frac{1}{2} f X and the flag curvature for plane sections containing x are equal to \
Yalınız, Ayşe Funda +1 more
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Sasakian metric as a Ricci soliton and related results [PDF]
, 2013 We prove the following results: (i) A Sasakian metric as a non-trivial Ricci soliton is null $\eta$-Einstein, and expanding. Such a characterization permits to identify the Sasakian metric on the Heisenberg group $\mathcal{H}^{2n+1}$ as an explicit ...
Ghosh, Amalendu, Sharma, Ramesh
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Approximation of regular Sasakian manifolds
Pacific Journal of Mathematics, 2023 arXiv admin note: substantial text overlap with arXiv:2305.05509, arXiv:2210 ...
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Reduction of Sasakian manifolds [PDF]
Journal of Mathematical Physics, 2001 We show that the contact reduction can be specialized to Sasakian manifolds. We prove that the Sasakian reduction is compatible with the Kähler reduction both in the cone construction and in the Boothby–Wang fibration. In particular, applying Futaki’s results, we obtain a sufficient condition for the reduced space of a regular Sasakian–Einstein ...
Grantcharov, Gueo, Ornea, Liviu
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Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2018 In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
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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
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Para-Sasakian manifolds and $$*$$-Ricci solitons [PDF]
Afrika Matematika, 2019 12 ...
D. G. Prakasha, P. Veeresha
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