Doubly Warped Products
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Date
2001
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
HYBRID
Green Open Access
No
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Publicly Funded
No
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Average
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Top 10%
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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.
Description
Keywords
geodesics, warped products, Lie derivative, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Local Riemannian geometry, Computational Theory and Mathematics, completeness, Lie derivative, warped products, Geometry and Topology, Lorentzian doubly, Geodesics, Analysis
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
OpenCitations Citation Count
52
Source
Differential Geometry and its Applications
Volume
15
Issue
3
Start Page
253
End Page
263
PlumX Metrics
Citations
CrossRef : 28
Scopus : 73
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Mendeley Readers : 5
SCOPUS™ Citations
73
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Web of Science™ Citations
76
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Page Views
1
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