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Conformal de Rham decomposition of Riemannian manifolds by Tojeiro, Ruy is a scholarly article available to read on EtoBox.

What is Conformal de Rham decomposition of Riemannian manifolds about?

We prove conformal versions of the local decomposition theorems of de Rham and Hiepko of a Riemannian manifold as a Riemannian or a warped product of Riemannian manifolds. Namely, we give necessary and sufficient conditions for a Riemannian manifold to be locally conformal to either a Riemannian or a warped product. We also obtain other related de Rham-type decomposition theorems. As an application, we study Riemannian manifolds that admit a Codazzi tensor with two distinct eigenvalues everywhere.

Author

Tojeiro, Ruy

Published

2004

Language

EN