On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
doaj +3 more sources
Integral inequalities for closed linear Weingarten submanifolds in the product spaces [PDF]
Anais da Academia Brasileira de Ciências, 2023 An integral inequality for closed linear Weingarten -submanifolds with parallel normalized mean curvature vector field (pnmc lw-submanifolds) in the product spaces ( ) × ℝ, > ≥ 4, where ( ) is a space form of constant sectional ...
FÁBIO R. DOS SANTOS +2 more
doaj +1 more source
On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]
Journal of Hyperstructures, 2023 The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
doaj +1 more source
CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD
Journal of Amasya University the Institute of Sciences and Technology, 2022 In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifoldhowe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslantsubmanifolds of a para Kenmotsu manifold are given.
Ümit Yıldırım, Süleyman Dirik
doaj +1 more source
H-Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)
Mathematics, 2020 H-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that, in the homogeneous nearly
Miroslava Antić +2 more
doaj +1 more source
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
doaj +1 more source
Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold [PDF]
Mathematica BohemicaWe study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold.
Payel Karmakar
doaj +1 more source
On Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection
Universal Journal of Mathematics and Applications, 2020 In this study, we consider the $ N(k)- $quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of $ N(k)- $quasi-Einstein manifolds is parallel with respect to semi-symmetric metric connection
İnan Ünal
doaj +1 more source
Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds
International Journal of Analysis and Applications, 2022 In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman +2 more
doaj +1 more source
Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds
Journal of Mathematics, 2013 We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.
Rachna Rani, Rakesh Kumar, R. K. Nagaich
doaj +1 more source