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On a type of Riemannian space

Published online by Cambridge University Press:  09 April 2009

Bandana Gupta
Bandana Gupta
Affiliation:
Department of Pure Mathematics, Calcutta University.
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In connection with Relativity, Kottler [2] introduced the space V4 whose metric tensor is given by xi being space coordinates and Ф being a function of x1 only, and showed that if Where a and b are arbitrary constants, then the V4 is an Einstein space.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 4 , November 1964 , pp. 421 - 424
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Eisenhart, L. P., Riemannian Geometry, Princeton University Press, Princeton, 1949.Google Scholar
[2]Kottler, F., Annalen der Physik (4) 56 (1918), 401.CrossRefGoogle Scholar
[3]Hlavatý, V., Differential Line Geometry, Noordhoff, Gróningen, 1953.Google Scholar
[4]Sen, H., Bull. Calcutta Math. Soc. 49 (1957), 153–156.Google Scholar