Results 11 to 20 of about 85,733 (177)
On the existence of Killing vector fields [PDF]
Classical and Quantum Gravity, 1999 9 pages, no figure, to appear in Class.
Arms J M +19 more
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UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS [PDF]
International Journal of Mathematics, 2005 We study 6-dimensional nearly Kähler manifolds admitting a Killing vector field of unit length. In the compact case, it is shown that up to a finite cover there is only one geometry possible, that of the 3-symmetric space S3 × S3.
Moroianu, Andrei +2 more
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Killing vector fields with twistor derivative
Journal of Differential Geometry, 2007 Motivated by the possible characterization of Sasakian manifolds in terms of twistor forms, we give the complete classification of compact Riemannian manifolds carrying a Killing vector field whose covariant derivative (viewed as a 2-form) is a twistor form.
Moroianu, Andrei
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On completeness of orbits of Killing vector fields [PDF]
Classical and Quantum Gravity, 1993 16 pages, Latex, preprint NSF-ITP-93 ...
Brill D +15 more
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Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity
Mehran University Research Journal of Engineering and Technology, 2020 conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan +2 more
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On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space
International Journal of Analysis and Applications, 2022 In the geometric theory of space curves, a magnetic field generates magnetic flow. The trajectories of magnetic flow are called magnetic curves. In the present paper, we obtain magnetic curves corresponding to killing magnetic fields in Euclidean 3-space
M. Khalifa Saad +2 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 harmonic forms [PDF]
Transactions of the American Mathematical Society, 1974 The paper is concerned with harmonic ( p , q ) (p,q) -forms on compact Kähler manifolds which admit Killing vector fields with discrete zero sets. Let h p , q {h^{p,q}} denote the dimension of the space of ...
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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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