On Sectional Curvatures of a Weyl Manifold
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Date
2006
Authors
Özdeğer, Abdülkadir
Journal Title
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Volume Title
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Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Abstract
In this paper it is proved that if at each point of a Weyl manifold the sectional curvature is independent of the plane chosen then the Weyl manifold is locally conformal to an Einstein manifold and that the scalar curvature of the Weyl manifold is prolonged covariant constant.
Description
Keywords
Einstein manifold, Einstein-Weyl manifold, Prolonged covariant constant, Sectional curvature, Weyl manifold, Weyl manifold, Sectional curvature, Einstein manifold, sectional curvature, 53A30, 53A40, Einstein-Weyl manifold, Prolonged covariant constant, prolonged covariant constant, Einstein-Weyl space, Global Riemannian geometry, including pinching, Special Riemannian manifolds (Einstein, Sasakian, etc.)
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q4
Scopus Q
Q3
OpenCitations Citation Count
3
Source
Proceedings of the Japan Academy, Series A, Mathematical Sciences
Volume
82
Issue
8
Start Page
123
End Page
125
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CrossRef : 2
Scopus : 9
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