Results 31 to 40 of about 275 (150)
On Generalized Sasakian-Space-Forms [PDF]
ISRN Geometry, 2012 The purpose of the present paper is to characterize pseudoprojectively flat and pseudoprojective semisymmetric generalized Sasakian-space-forms.
Nagaraja, H. G. +2 more
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Some remarks on invariant lightlike submanifolds of indefinite Sasakian manifold [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The author considers an invariant lightlike submanifold M, whose transversal bundle tr(TM) is flat, in an indefinite Sasakian manifold M¯(c) of constant φ¯-sectional curvature c. Under some geometric conditions, the author demonstrates that c=1,
Samuel Ssekajja
doaj +1 more source
Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
Communications in Advanced Mathematical Sciences, 2023 In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
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Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We introduce generalized Sasakian space forms with semi-symmetric non-metric connections. We show the existence of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by warped products endowed with semi ...
Sibel Sular, Cihan Özgür
doaj +1 more source
Some Results on Generalized Sasakian Space Forms [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract In the present frame work, we studied the semi generalized recurrent, semi generalized ϕ -recurrent, extended generalized ϕ -recurrent and concircularly locally ϕ -symmetric on ...
Shanmukha, B., Venkatesha
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Generalized Sasakian space forms on w0-curvature tensor [PDF]
, 2023 In this article, generalized Sasakian space forms are investi-gated on W0-curvature tensor. Characterizations of generalized Sasakian space forms are obtained on W0-curvature tensor.
Mert, Tuğba, Atçeken, Mehmet
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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
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
A compact non‐formal closed G2 manifold with b1=1$b_1=1$
Mathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022 Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
wiley +1 more source
RICCI SOLITONS ON HOPH HYPERSURFACES IN SASAKIAN SPACE FORM [PDF]
, 2017 We are studying Ricci solitons on Hoph hypersurfaces in Sasakian space formfM2n+1(c). The rst, we prove that Hoph hypersurfaces of a Sasakian space formfM2n+1(c < 1) with two distinct principal curvatures is shrinking and for c 1,Hoph hypersurfaces with ...
Abedi, Esmail +3 more
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