Results 21 to 30 of about 42,809 (195)

On the type constancy of some six-dimensional planar submanifolds of Cayley algebra

open access: yesДифференциальная геометрия многообразий фигур, 2023
The notion of type constancy was introduced by Alfred Gray for nearly Kählerian manifolds and later generalized by Vadim F. Kirichenko and Irina V. Tret’yakova for all Gray — Hervella classes of almost Her­mitian manifolds.
G. A. Banaru
doaj   +1 more source

Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

open access: yesCubo, 2022
The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

Totally real submanifolds of $(LCS)_n$-Manifolds [PDF]

open access: yes, 2017
The present paper deals with the study of totally real submanifolds and $\textit{C}$-totally real submanifolds of $(LCS)_n$-manifolds with respect to Levi-Civita connection as well as quarter symmetric metric connection.
Hui, Shyamal Kumar, Pal, Tanumoy
core   +2 more sources

Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2013
We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
doaj   +1 more source

Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection

open access: yesAxioms, 2023
In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized normalized δ-Casorati ...
Mohd Danish Siddiqi, Ali H. Hakami
doaj   +1 more source

On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]

open access: yesJournal 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

Calibrated Submanifolds [PDF]

open access: yes, 2020
We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.
openaire   +2 more sources

Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

open access: yesAxioms, 2023
In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures.
Majid Ali Choudhary, Ion Mihai
doaj   +1 more source

Generic submanifolds of a locally conformal Kaehler manifold-II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold.
M. Hasan Shahid, Kouei Sekigawa
doaj   +1 more source

A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds

open access: yesAxioms, 2019
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
doaj   +1 more source

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