Doubly warped products

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Date

2001

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Elsevier Science Bv

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Department of Modern Languages
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Abstract

In this paper we study geodesic completeness of Riemannian doubly warped products and Lorentzian doubly warped products. We give necessary conditions for generalized Robertson-Walker spacetimes with doubly warped product spacial parts to be globally hyperbolic. We also state some results about killing and conformal vector fields of doubly warped products.

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Keywords

geodesics, warped products, Lie derivative

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Citation

65

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Q4

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Volume

15

Issue

3

Start Page

253

End Page

263

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