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Doubly warped products

✍ Scribed by Bülent Ünal

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
86 KB
Volume
15
Category
Article
ISSN
0926-2245

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Pseudoconvexity in Lorentzian doubly war
Pseudoconvexity in Lorentzian doubly warped products
✍ Dean Allison 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 207 KB

A Lorentzian manifold M is said to be null (resp. causally) pseudoconvex if, given any compact set K in M, there exists a compact set K' in M such that any null (resp. causal) geodesic segment with both endpoints in K lies in K'. Various implications of causal and null pseudoconvexity on the geodesi