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Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
(Polish Acad Sciences Inst Mathematics-Impan, 2018)
We obtain inequalities for statistical submanifolds of a statistical manifold of quasi-constant curvature. We also obtain the Chen-Ricci inequality and the generalized Wintgen inequality for this type of submanifolds.
Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection (vol 55, pg 611, 2012)
(Canadian Mathematical Soc, 2015)
We correct the coefficients in inequality (4.1) in Theorem 4.1(i), from C. Ozgur and A. Mihai, Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection.
On the contact conformal curvature tensor of a contact metric manifold
(Indian Nat Sci Acad, 2006)
The contact conformal curvature tensor of an N(kappa)-contact rhetric manifolds is studied. We prove that an N(kappa)-contact metric manifold with vanishing extended contact conformal curvature tensor is a Sasakian manifold. ...
Chen inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature
(Kossuth Lajos Tudomanyegyetem, 2013)
The object of the present paper is to study Chen first inequality and k-Ricci curvatures for submanifolds of a Riemannian manifold of nearly quasi-constant curvature.
On some types of slant curves in contact pseudo-hermitian 3-manifolds
(Polish Acad Sciences İnst Mathematics, 2012)
We study slant curves in contact Riemannian 3-manifolds with pseudo-Hermitian proper mean curvature vector field and pseudo-Hermitian harmonic mean curvature vector field for the Tanaka-Webster connection in the tangent ...
Erratum: Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection (Canadian Mathematical Bulletin (2012) 55:3 (611-622))
(Canadian Mathematical Society, 2014)
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On generalized recurrent lorentzian para-sasakian manifolds
(2008)
In this study, we consider generalized recurrent and generalized concircular recurrent LPSasakian manifolds. We show that there exist no generalized recurrent LP-Sasakian manifold unless α + ß is everywhere zero. Furthermore, ...
Contact CR-warped product submanifolds in generalized Sasakian space forms
(2012)
We consider a contact CR-warped product submanifold M = $M_Tx _f M_{\bot}$ of a trans-Sasakian generalized Sasakian space form $\widetilde{M}(f_{1,} f_{2,}f_3)$. We show that M is a contact CR-product under certain conditions.
On contact metric hypersurfaces in a real space form
(Academic Publication Council, 2007)
For a (2n + 1)-dimensional N(k)-contact metric hypersurface in a real space form (M) over tilde (c), some main results are obtained as follows: (1) if k - c > 0 then M is totally umbilical, and consequently, either M is a ...
Pseudo symmetric and pseudo Ricci symmetric warped product manifolds
(2010)
We study pseudo symmetric (briefly (PS)n) and pseudo Ricci symmetric (briefly (PRS)n) warped product manifolds M ×F N. If M is (PS)n, then we give a condition on the warping function that M is a pseudosymmetric space and ...
