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Curvatures on Homogeneous Generalized Matsumoto Space
Published 2023-03-01“…We have also derived the expression for the mean Berwald curvature by using the formula of <i>S</i>-curvature.…”
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Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-<i>η</i>-Ricci Solitons
Published 2023-01-01Subjects: Get full text
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Geometrical Structure in a Relativistic Thermodynamical Fluid Spacetime
Published 2023-01-01Subjects: Get full text
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Bounds for Eigenvalues of <i>q</i>-Laplacian on Contact Submanifolds of Sasakian Space Forms
Published 2023-11-01“…This study establishes new upper bounds for the mean curvature and constant sectional curvature on Riemannian manifolds for the first positive eigenvalue of the <i>q</i>-Laplacian. …”
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Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms
Published 2022-08-01“…Abstract This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the Φ-Laplacian operator on closed oriented m-dimensional semislant submanifolds in a Sasakian space form M ˜ 2 k + 1 ( ϵ ) is estimated in various ways. …”
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Spacelike ruled surfaces with stationary Disteli-axis
Published 2023-01-01“…This provides the ability to compute a set of Lorentzian curvature functions which define the local shape of spacelike ruled surfaces. …”
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Tangent Bundles of <i>P</i>-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection
Published 2023-03-01“…The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a <i>P</i>-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mi>M</mi></mrow></semantics></math></inline-formula>. …”
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Geometry of <em>k</em>-Yamabe Solitons on Euclidean Spaces and Its Applications to Concurrent Vector Fields
Published 2021-01-01“…We provide an example to support this study and all of the results in this paper can be implemented to Yamabe solitons for <i>k</i>-curvature with <inline-formula><math display="inline"><semantics><mrow><mi>k</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>.…”
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A Study of Kenmotsu-like Statistical Submersions
Published 2022-08-01“…Subsequently, assuming the postulate that the curvature tensor with regard to the affine connections of the total space obeys certain criteria, we analyze such statistical submersions to those developed by Kenmotsu. …”
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General Relativistic Space-Time with <i>η</i><sub>1</sub>-Einstein Metrics
Published 2022-07-01“…In adition, certain curvature conditions on the space-time that admit an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>η</mi><mn>1</mn></msub></semantics></math></inline-formula>-Einstein soliton are explored and build up the importance of the Laplace equation on the space-time in terms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>η</mi><mn>1</mn></msub></semantics></math></inline-formula>-Einstein soliton. …”
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Ricci Soliton of <inline-formula><math display="inline"><semantics><mi mathvariant="script">CR</mi></semantics></math></inline-formula>-Warped Product Manifolds and Their Classific...
Published 2023-04-01“…We also derive some characterizations of Einstein warped product manifolds under the impact of Ricci Curvature and Divergence of Hessian tensor.…”
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A Solitonic Study of Riemannian Manifolds Equipped with a Semi-Symmetric Metric <i>ξ</i>-Connection
Published 2023-08-01“…By using standard tensorial technique, we prove that the scalar curvature of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msup><mi>M</mi><mn>3</mn></msup><mo>,</mo><mover accent="true"><mo stretchy="false">∇</mo><mo>˜</mo></mover><mo>)</mo></mrow></semantics></math></inline-formula> satisfies the Poisson equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Δ</mo><mi>R</mi><mo>=</mo><mfrac><mrow><mn>4</mn><mo>(</mo><mn>2</mn><mo>−</mo><mi>σ</mi><mo>−</mo><mn>6</mn><mi>ρ</mi><mo>)</mo></mrow><mi>ρ</mi></mfrac></mrow></semantics></math></inline-formula>.…”
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Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields
Published 2023-03-01“…In such a spacetime, we obtain an EoS with a constant scalar curvature <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula> in terms of the magnetic field strength <i>H</i> and magnetic permeability <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula>. …”
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