A theorem on local isometries
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- by W. A. Kirk PDF
- Proc. Amer. Math. Soc. 17 (1966), 453-455 Request permission
References
- Herbert Busemann, The geometry of geodesics, Academic Press, Inc., New York, N.Y., 1955. MR 0075623
- Herbert Busemann, Geometries in which the planes minimize area, Ann. Mat. Pura Appl. (4) 55 (1961), 171–189. MR 143155, DOI 10.1007/BF02412083
- W. A. Kirk, On locally isometric mappings of a $G$-space on itself, Proc. Amer. Math. Soc. 15 (1964), 584–586. MR 171252, DOI 10.1090/S0002-9939-1964-0171252-9
- J. Szenthe, Über lokalisometrische Abbildungen von $G$-Räumen auf sich, Ann. Mat. Pura Appl. (4) 55 (1961), 37–46 (German). MR 132518, DOI 10.1007/BF02412073
- J. Szenthe, Über metrische Räume, deren lokalisometrische Abbildungen Isometrien sind, Acta Math. Acad. Sci. Hungar. 13 (1962), 433–441 (German). MR 144295, DOI 10.1007/BF02020808
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 453-455
- MSC: Primary 53.95
- DOI: https://doi.org/10.1090/S0002-9939-1966-0190886-0
- MathSciNet review: 0190886