Killing Vector Fields and Holonomy Algebras
نویسندگان
چکیده
منابع مشابه
Harmonic-killing Vector Fields *
In this paper we consider the harmonicity of the 1-parameter group of local infinitesimal transformations associated to a vector field on a (pseudo-) Riemannian manifold to study this class of vector fields, which we call harmonic-Killing vector fields.
متن کاملLie algebras of vector fields
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
متن کاملLocalization formulas about two Killing vector fields
In this article, we will discuss the smooth (XM+ √ −1YM )-invariant forms on M and to establish a localization formulas. As an application, we get a localization formulas for characteristic numbers. The localization theorem for equivariant differential forms was obtained by Berline and Vergne(see [2]). They discuss on the zero points of a Killing vector field. Now, We will discuss on the points...
متن کاملHarmonic-Killing vector fields on Kähler manifolds
In a previous paper we have considered the harmonicity of local infinitesimal transformations associated to a vector field on a (pseudo)-Riemannian manifold to characterise intrinsi-cally a class of vector fields that we have called harmonic-Killing vector fields. In this paper we extend this study to other properties, such as the pluriharmonicity and the α-pluriharmonicity (α harmonic 2-form) ...
متن کاملOn the existence of Killing vector fields
In covariant metric theories of coupled gravity-matter systems the necessary and sufficient conditions ensuring the existence of a Killing vector field are investigated. It is shown that the symmetries of initial data sets are preserved by the evolution of hyperbolic systems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.2307/2044677