A characterization of certain conformally Euclidean spaces of class one
HTML articles powered by AMS MathViewer
- by G. M. Lancaster
- Proc. Amer. Math. Soc. 21 (1969), 623-628
- DOI: https://doi.org/10.1090/S0002-9939-1969-0240744-0
- PDF | Request permission
References
- H. W. Brinkman, On Riemannian spaces conformal to Euclidean spaces, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 1-3.
- Luther Pfahler Eisenhart, Riemannian Geometry, Princeton University Press, Princeton, NJ, 1949. 2d printing. MR 35081
- G. M. Lancaster, Note on a theorem by Sen, Proc. Amer. Math. Soc. 19 (1968), 1119–1122. MR 232309, DOI 10.1090/S0002-9939-1968-0232309-0
- R. N. Sen, On a type of Riemannian space conformal to a flat space, J. Indian Math. Soc. (N.S.) 21 (1957), 105–114. MR 98408
- R. N. Sen, Conformally euclidean space of class one, Indian J. Math. 6 (1964), 93–103. MR 179734
- R. N. Sen, On conformally-flat Riemannian space of class one, Proc. Amer. Math. Soc. 17 (1966), 880–883. MR 200867, DOI 10.1090/S0002-9939-1966-0200867-6
- T. Y. Thomas, Riemann spaces of class one and their characterization, Acta Math. 67 (1936), no. 1, 169–211. MR 1555419, DOI 10.1007/BF02401741 International Congress of Mathematicians, Abstract of short communications, Stockholm 1962, Almquist and Wiksells, Uppsala, 1962.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 21 (1969), 623-628
- MSC: Primary 53.70
- DOI: https://doi.org/10.1090/S0002-9939-1969-0240744-0
- MathSciNet review: 0240744