Results 11 to 20 of about 2,965,710 (272)

Harmonic-Killing vector fields on Kähler manifolds.

Bulletin Romanian Mathematical Society, 2000
In a previous paper [Bull. Belg. Math. Soc. - Simon Stevin 9, No. 4, 481--490 (2002; Zbl 1044.53052)], the authors introduced the notion of harmonic-Killing (1-harmonic-Killing) vector field \(X\) on a pseudo-Riemannian manifold \((M,g)\) for which the local 1-parameter group of infinitesimal transformations associated to \(X\) is a group of harmonic ...
Dodson, Christopher, Perez, M Trinidad, Vazquez-Abal, M Elena   +2 more
core   +10 more sources

Killing spinors are killing vector fields in Riemannian supergeometry [PDF]

Journal of Geometry and Physics, 1998
14 pages, latex, one typo ...
Alekseevsky, D., Cortés, V., Devchand, C., Semmelmann, U.   +3 more
openaire   +6 more sources

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
openaire   +3 more sources

On related vector fields of capillary surfaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1981
In this paper, some necessary and sufficient conditions are given for the related vector fields of capillary surfaces to be Killing, conformal Killing, and homothetic conformal Killing vectors in the n-dimensional domain Ω, and a construction of ...
Afet K. Özok
doaj   +2 more sources

On Discrete Killing Vector Fields and Patterns on Surfaces

Computer Graphics Forum, 2010
AbstractSymmetry is one of the most important properties of a shape, unifying form and function. It encodes semantic information on one hand, and affects the shape's aesthetic value on the other. Symmetry comes in many flavors, amongst the most interesting being intrinsic symmetry, which is defined only in terms of the intrinsic geometry of the shape ...
Ben-Chen, Mirela, Butscher, Adrian, Solomon, Justin, Guibas, Leonidas   +3 more
core   +4 more sources

Killing Vector Fields of Invariant Metrics on Five-Dimensional Solvable Lie Groups

Mathematics
In 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
doaj   +2 more sources

Killing Vector Fields in Generalized Conformal β-Change of Finsler Spaces [PDF]

Journal of Mathematics, 2015
We consider a Finsler space equipped with a Generalized Conformal β-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal β-change of metric.
Mallikarjun Yallappa Kumbar, Narasimhamurthy Senajji Kampalappa, Thippeswamy Komalobiah Rajanna, Kavyashree Ambale Rajegowda   +3 more
doaj   +2 more sources

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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Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds [PDF]

Axioms
We study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields.
Norah Alshehri, Mohammed Guediri
doaj   +2 more sources

Killing Vector Fields of Invariant Metrics

Geometry
We 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
openaire   +2 more sources