Results 91 to 100 of about 275 (150)

ON (?)-para sasakian 3-manifolds [PDF]

open access: yes, 2012
In this paper we study the 3-dimensional (?)-para Sasakian manifolds. We obtain a necessary and sufficient condition for an (?)-para Sasakian 3- manifold to be an indefinite space form.
Kel?s S.   +3 more
core  

Semi-invariant submanifolds of Lorentzian Sasakian manifolds [PDF]

open access: yes, 2011
In this paper we introduce the notion of semi-invariant submanifolds of a Lorentzian almost contact manifold. We study their principal characteristics and the particular cases in which the manifold is a Lorentzian Sasakian manifold or a Lorentzian ...
Pablo Alegre
core   +1 more source

Supersymmetric AdS$$_2\times \Sigma _2$$ 2×Σ2 solutions from tri-sasakian truncation

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
A class of $$\mathrm{AdS}_2\times \Sigma _2$$ AdS2×Σ2 , with $$\Sigma _2$$ Σ2 being a two-sphere or a hyperbolic space, solutions within four-dimensional $$N=4$$ N=4 gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified.
Parinya Karndumri
doaj   +1 more source

HOMOGENEOUS STRUCTURES OF 3-DIMENSIONAL SASAKIAN SPACE FORMS

open access: yesTsukuba Journal of Mathematics
We give explicit parametrizations for all the homogeneous contact Riemannian structures on $3$-dimensional Sasakian space forms.
Inoguchi, Jun-ichi, Ohno, Yu
openaire   +3 more sources

A characterization of Sasakian space forms by the spectrum

open access: yesJournal of Geometry and Physics, 2015
Let $(M,g)$ and $(M',g')$ be two compact connected smooth Riemannian manifolds without boundaries. Denote by $\mathrm{Spec}^p(M,g)$ (resp. $\mathrm{Spec}^p(M',g')$) the spectrum of the Laplace-Beltrami operator on $p$-forms on $(M,g)$ (resp. $(M',g'))$.
openaire   +3 more sources

Almost contact metric 3-submersions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
doaj   +1 more source

Pseudo-Parallel Legendrian Submanifolds With Flat Normal Bundle of Sasakian Space Forms [PDF]

open access: yes, 2014
Let M n be a Legendrian submanifold with flat normal bundle of a Sasakian space form 2n+1(c). Further, M n is said to be pseudo-parallel if its second fundamental form h satisfies R(X, Y ) ·   h = L(X  ∧ Y ·   h).
CHEN, Xiaomin
core   +1 more source

Biharmonic submanifolds of generalized space forms [PDF]

open access: yes, 2017
International audienceWe consider biharmonic submanifolds in both generalized complex and Sasakian space forms. After giving the biharmonicity conditions for submanifolds in these spaces, we study different particular cases for which we obtain curvature ...
Upadhyay, Abhitosh, Roth, Julien
core   +1 more source

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