Conformal invariants of submanifolds
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- by Chuan Chih Hsiung and Larry R. Mugridge PDF
- Proc. Amer. Math. Soc. 62 (1977), 316-318 Request permission
Abstract:
A local conformal invariant and a global conformal invariant of a submanifold immersed in a Euclidean space are derived.References
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W. Blaschke, Vorlesungen über Differentialgeometrie. III, Springer, Berlin, 1929.
- Bang-yen Chen, An invariant of conformal mappings, Proc. Amer. Math. Soc. 40 (1973), 563–564. MR 320956, DOI 10.1090/S0002-9939-1973-0320956-9 J. Haantjes, Conformal representations of an n-dimensional euclidean space with a non-definite fundamental form on itself, Nederl. Akad. Wetensch. Proc. Ser. A 40 (1937), 700-705.
- James H. White, A global invariant of conformal mappings in space, Proc. Amer. Math. Soc. 38 (1973), 162–164. MR 324603, DOI 10.1090/S0002-9939-1973-0324603-1
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 316-318
- MSC: Primary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-1977-0433361-5
- MathSciNet review: 0433361