Results 31 to 40 of about 549 (94)
Generalized Quasi-Einstein Manifolds in Contact Geometry
In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
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Weakly Z symmetric manifolds [PDF]
We introduce a new kind of Riemannian manifold that includes weakly-, pseudo- and pseudo projective- Ricci symmetric manifolds. The manifold is defined through a generalization of the so called Z tensor; it is named "weakly Z symmetric" and denoted by ...
A. Derdzinski +32 more
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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Variational problems of normal curvature tensor and concircular scalar fields [PDF]
It is well known that, for a submanifold \(M^m\) in a space form \(\tilde M(c)\), the normal curvature tensor \(R^\perp\) is invariant under conformal transformations of the ambient space. Therefore, the functional \({\mathcal R}^\perp_q[\phi]=\int_M \| R^\perp\| ^qdv\), defined on the space of immersions \(\phi\colon M^m\to \tilde M(c)\), is a ...
openaire +2 more sources
The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time [PDF]
The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered.
Matsyuk, Roman Ya.
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Concircular vector fields for Kantowski Sachs and Bianchi type III spacetimes
This paper intends to obtain concircular vector fields of Kantowski Sachs and Bianch type III spacetimes. For this purpose, ten conformal Killing equations and their general solution in the form of conformal Killing vector fields are derived along with ...
Ali, Ahmad T +2 more
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On equivalency of various geometric structures [PDF]
In the literature we see that after introducing a geometric structure by imposing some restrictions on Riemann-Christoffel curvature tensor, the same type structure given by imposing same restriction on other curvature tensors being studied.
Absos Ali, Haradhan Kundu, Shaikh
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In this article, pseudoparallel submanifolds for almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space are investigated. The almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular $2-$pseudoparallel ...
Tuğba MERT, Mehmet ATÇEKEN
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On Concircular Curvature Tensor in Space-Times
The aim of this work is to examine some properties of the concircular curvature tensor on $4-$dimensional manifolds admitting a Lorentz metric (so called space-times). In the first two sections, the study is introduced and the interrelated concepts together with some notations are presented.
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Properties of concircular curvature tensors on Riemann spaces
This paper studies conditions of pseudo-symmetric and semi-symmetric type on geodesic and subgeodesic related Riemann spaces. Properties of concircular transformations of metrics are characterized, using certain concircular-Riemann type flows. Also concircular-Riemann solitons are introduced, as natural extensions of Ricci solitons.
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