Results 21 to 30 of about 345 (143)

Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms

open access: yesAdvances in Mathematical Physics, 2019
In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci ...
Rongsheng Ma, Donghe Pei
doaj   +2 more sources

Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms

open access: yesJournal of New Theory
In this study, we consider bi-$f$-harmonic Legendre curves on $(\alpha,\beta)$-trans-Sasakian generalized Sasakian space form. We provide the necessary and sufficient conditions for a Legendre curve to be bi-$f$-harmonic on $(\alpha,\beta)$-trans ...
Feyza Esra Erdoğan   +2 more
doaj   +2 more sources

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   +4 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. $(M',g'))$.
PERRONE, Domenico
openaire   +4 more sources

Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

open access: yesCommunications 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
doaj   +1 more source

On Generalized Sasakian-Space-Forms [PDF]

open access: yesISRN 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
openaire   +2 more sources

Some Results on Generalized Sasakian Space Forms [PDF]

open access: yesApplied 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
openaire   +1 more source

Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]

open access: yesProceedings 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

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

open access: yesJournal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

A Note on Nearly Sasakian Manifolds

open access: yesMathematics, 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
doaj   +1 more source

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