Conformal vector fields on vector bundle manifolds with spherically symmetric metrics
نویسندگان
چکیده
منابع مشابه
Conformal Vector Fields in Symmetric and Conformal Symmetric Spaces
Consequences of the existence of conformal vector fields in (locally) symmetric and conformal symmetric spaces, have been obtained. An attempt has been made for a physical interpretation of the consequences in the framework of general relativity.
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∇XV = λX for every vector field X. (1.2) Here ∇ denotes the Levi-Civita connection of g. We call vector fields satisfying (1.2) closed conformal vector fields. They appear in the work of Fialkow [3] about conformal geodesics, in the works of Yano [7–11] about concircular geometry in Riemannian manifolds, and in the works of Tashiro [6], Kerbrat [4], Kühnel and Rademacher [5], and many other aut...
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ژورنال
عنوان ژورنال: Publicationes Mathematicae Debrecen
سال: 2020
ISSN: 0033-3883
DOI: 10.5486/pmd.2020.8677