Results 11 to 20 of about 2,793,586 (269)
Killing Vector Fields on Complete Riemannian Manifolds [PDF]
Proceedings of the American Mathematical Society, 1982 We discuss Killing vector fields with finite global norms on complete Riemannian manifolds whose Ricci curvatures are nonpositive or negative.
Shinsuke Yorozu
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Killing Vector Fields of Invariant Metrics on Five-Dimensional Solvable Lie Groups
MathematicsIn this paper we study the existence of Killing vector fields for right-invariant metrics on five-dimensional Lie groups. We begin by providing some explanation of the classification lists of the low-dimensional Lie algebras.
Gerard Thompson
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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 )
Edward T. Wright
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Killing Vector Fields of Invariant Metrics
GeometryWe study the existence of Killing vector fields for right-invariant metrics on low-dimensional Lie groups. Specifically, Lie groups of dimension two, three and four are considered. Before attempting to implement the differential conditions that comprise Killing’s equations, the metric is reduced as much as possible by using the automorphism group of ...
Gerard Thompson
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On Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 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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Hydrodynamic Killing vector fields on surfaces [PDF]
, 2023 Killing vector fields, which have their origins in Riemannian geometry, have recently garnered attention for their significance in understanding fluid flows on curved surfaces.
Shimizu, Yuuki
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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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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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