Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
doaj +5 more sources
On semiparallel anti-invariant submanifolds of generalizedSasakian space forms
We consider minimal anti-invariant semiparallel submanifolds of generalized Sasakian space forms. We show that the submanifolds are totally geodesic under certain conditions.
Cihan Özgur, Cengizhan Murathan
exaly +7 more sources
Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]
We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
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Submanifolds of Almost-Complex Metallic Manifolds
Our paper aims to study the geometry of submanifolds of an almost-complex metallic manifold. We give an example of this type of manifold, and reveal the fundamental properties of structure induced on submanifolds.
Ayşe Torun, Mustafa Özkan
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Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey
We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant ...
Cristina E. Hretcanu, Adara M. Blaga
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Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds [PDF]
The present paper deals with the study of Chaki-pseudo parallel and Deszcz-pseudo parallel invariant submanifolds of SQ-Sasakian manifolds with respect to Levi-Civita connection and semisymmetric metric connection and obtain that these two classes are equivalent with a certain condition. Also the invariant and anti-invariant submanifolds of SQ-Sasakian
Shyamal Kumar Hui, Hui Shyamal Kumar
exaly +3 more sources
Invariant and Anti-Invariant Submanifolds of Generalized Sasakian Space Forms
In this article, invariant and anti-invariant submanifolds of generalized Sasakian space forms are investigated. The important properties of such submanifolds are determined according to both Levi-Civita connection and semisymmetric metric connection.
Uday Chand De
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On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]
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
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Anti-invariant submanifolds of a Sasakian space form [PDF]
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
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