Results 21 to 30 of about 2,965,710 (272)
Geodesics and Killing vector fields in a tangent bundle
, 2006 The main purpose of this paper is to study geodesics and Killing vector fields in a tangent bundle with respect to the synectic lift s∇ of an affine ...
Gezer, Aydın, Akbulut, Kürşat
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On the Geometry of the Orbits of Killing Vector Fields
, 2023 6 ...
Narmanov, A. Ya., Aslonov, J. O.
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As‐Killing‐As‐Possible Vector Fields for Planar Deformation [PDF]
Computer Graphics Forum, 2011 AbstractCartoon animation, image warping, and several other tasks in two‐dimensional computer graphics reduce to the formulation of a reasonable model for planar deformation. A deformation is a map from a given shape to a new one, and its quality is determined by the type of distortion it introduces.
Justin Solomon 0001 +3 more
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Hypersurfaces in a Euclidean Space with a Killing Vector Field
AIMS Mathematics, 2023 An odd-dimensional sphere admits a killing vector field, induced by the transform of the unit normal by the complex structure of the ambiant Euclidean space. In this paper, we study orientable hypersurfaces in a Euclidean space those admit a unit Killing vector field and find two characterizations of odd-dimensional spheres.
Mohammed Guediri, Sharief Deshmukh
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On an Anti-Torqued Vector Field on Riemannian Manifolds
Mathematics, 2021 A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh +2 more
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Killing Vector Fields and Holonomy Algebras [PDF]
Proceedings of the American Mathematical Society, 1984 We prove that for each Killing vector field X X on a complete Riemannian manifold, whose orthogonal distribution is involutive, the ( 1 , 1 ) (1,1) skew-symmetric operator A X {A_X} associated to X X by
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On compact pseudo-Riemannian manifolds admitting Killing vector fields [PDF]
AUT Journal of Mathematics and ComputingWe prove some theorems about the Killing vector fields on compact and connected pseudo-Riemannian manifolds. Among other results, we present a relationship between curvature of a compact pseudo-Riemannian manifold $M$ and existence of Killing vector ...
Reza Mirzaie
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Mathematics, 2023 We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
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Nil-Killing vector fields and Kundt structures [PDF]
, 2020 This thesis is based on three papers, for which two have been submitted for publication and one is published. A chapter presenting relevant background material is included giving convenient access to preliminary foreknowledge for the papers. The research
Aadne, Matthew Terje
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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