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Einstein spaces and conformal vector fields

김영호|박성희|김동수
대한수학회 (The Korean Mathematical Society)|2006.01|대한수학회지 (Journal of the KMS)|제43권 제1호|pp. 133-145

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주제분류수학

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Abstract

We study Riemannian or pseudo-Riemannian manifolds which admit a closed conformal vector field. Subject to the condition that at each point $p\in M^n$ the set of conformal gradient vector fields spans a non-degenerate subspace of $T_pM$, using a warped product structure theorem we give a complete description of the space of conformal vector fields on arbitrary non-Ricci flat Einstein spaces.

참고문헌 (13)

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