Results 171 to 180 of about 426,506 (223)
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On m-Modified Conformal Vector Fields
The Journal of Geometric Analysis, 2023The authors introduce the notion of \(m\)-modified conformal vector fields. It is shown that compact Riemannian manifolds admit no \(m\)-modified conformal vector fields of constant length. It is also shown that the existence of a left-invariant \(m\)-modified conformal vector field on a Riemannian Lie group \(\left( G,\left\langle \cdot ,\cdot \right ...
Zhang, Hui, Chen, Zhiqi
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Conformal Vector Fields and Eigenvectors of Laplacian Operator
Mathematical Physics, Analysis and Geometry, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharief Deshmukh
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The isoperimetric problem in the Riemannian manifold admitting a non-trivial conformal vector field
Mathematische Annalen, 2023In this article, we will study the isoperimetric problem by introducing a mean curvature type flow in the Riemannian manifold endowed with a non-trivial conformal vector field.
Jiayu Li, Shujing Pan
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Conformal vector fields on almost co-Kähler manifolds
Mathematica Slovaca, 2021In this paper, we characterize almost co-Kähler manifolds with a conformal vector field. It is proven that if an almost co-Kähler manifold has a conformal vector field that is collinear with the Reeb vector field, then the manifold is a K-almost co ...
U. De, Y. Suh, S. Chaubey
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Ricci almost solitons with associated projective vector field
Advances in Geometry, 2022A Ricci almost soliton whose associated vector field is projective is shown to have vanishing Cotton tensor, divergence-free Bach tensor and Ricci tensor as conformal Killing.
Ramesh Sharma, Sharief Deshmukh
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Conformal vector fields and σk-scalar curvatures
Pacific Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Xingwang, Ye, Jian
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On the vector conformal models in an arbitrary dimension
The European Physical Journal Plus, 2021The conventional model of the gauge vector field is invariant under the local conformal symmetry only in the four-dimensional space (4d). Conformal generalization to an arbitrary dimension d is impossible even for the free theory, differently from scalar
M. Asorey +3 more
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Zeros of conformal vector fields
Classical and Quantum Gravity, 1997The authors study the behaviour of a conformal vector field \(X\) on a spacetime in the neighbourhood of a zero of \(X\).
Hall, G. S., Capocci, M. S., Beig, R.
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On $\phi$-skew symmetric conformal vector fields
Publicationes Mathematicae Debrecen, 2001Summary: The notion of the \(J\)-skew symmetric vector field was introduced by \textit{I. Mihai, L. Nicolescu} and \textit{R. Rosca} [Port. Math. 54, 215-228 (1997; Zbl 0880.53029)]. In the present paper, we deal with \(\varphi\)-skew symmetric conformal vector fields on a Kenmotsu manifold \(M(\varphi,\Omega,\eta,\xi,g)\).
Naitza, Dorotea, Oiagă, Adela
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Essential conformal vector fields
Classical and Quantum Gravity, 1999The author deduces the necessary and sufficient condition for a conformal Killing vector field on a pseudo-Riemannian manifold \((M,g)\) to be homothetic or even a Killing vector field with respect to a locally defined metric conformally related to \(g\).
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