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On sectional curvatures of a Weyl manifold

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On sectional curvatures of a Weyl manifold.pdf (99.76Kb)
Date
2006
Author
Özdeǧer, Abdülkadir
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.

Source

Proceedings of the Japan Academy Series A: Mathematical Sciences

Issue

8

Volume

82

Pages

123-125

URI

https://hdl.handle.net/20.500.12469/1655
https://dx.doi.org/10.3792/pjaa.82.123
https://projecteuclid.org/euclid.pja/1162820091

Collections

  • Araştırma Çıktıları / Scopus [1482]
  • Araştırma Çıktıları / WOS [1409]
  • Endüstri Mühendisliği / Industrial Engineering [128]
  • İstatistik ve Bilgisayar Bilimleri [4]

Keywords

Einstein manifold
Einstein-Weyl manifold
Prolonged covariant constant
Sectional curvature
Weyl manifold

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