Remarks on sectional curvature of an indefinite metric
HTML articles powered by AMS MathViewer
- by Katsumi Nomizu PDF
- Proc. Amer. Math. Soc. 89 (1983), 473-476 Request permission
Abstract:
The properties of sectional curvature for an indefinite metric are further studied following the works of R. S. Kulkarni, L. Graves and the author, S. G. Harris, and M. Dajczer and the author.References
- Marcos Dajczer and Katsumi Nomizu, On sectional curvature of indefinite metrics. II, Math. Ann. 247 (1980), no. 3, 279–282. MR 568993, DOI 10.1007/BF01348960
- Marcos Dajczer and Katsumi Nomizu, On the boundedness of Ricci curvature of an indefinite metric, Bol. Soc. Brasil. Mat. 11 (1980), no. 1, 25–30. MR 607014, DOI 10.1007/BF02584877
- Larry Graves and Katsumi Nomizu, On sectional curvature of indefinite metrics, Math. Ann. 232 (1978), no. 3, 267–272. MR 478082, DOI 10.1007/BF01351431
- Steven G. Harris, A triangle comparison theorem for Lorentz manifolds, Indiana Univ. Math. J. 31 (1982), no. 3, 289–308. MR 652817, DOI 10.1512/iumj.1982.31.31026
- R. S. Kulkarni, The values of sectional curvature in indefinite metrics, Comment. Math. Helv. 54 (1979), no. 1, 173–176. MR 522040, DOI 10.1007/BF02566265
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 473-476
- MSC: Primary 53C50; Secondary 53B30
- DOI: https://doi.org/10.1090/S0002-9939-1983-0715869-0
- MathSciNet review: 715869