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Some congruence theorems for closed hypersurfaces in riemann spaces (Part I: Method based on Stoker’ theorem)

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Commentarii Mathematici Helvetici

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References

  1. H. Hopf andK. Voss,Ein Satz aus der Flächentheorie im Grossen, Archiv. der Math.,3 (1952), 187–192.

    Article  MATH  MathSciNet  Google Scholar 

  2. K. Voss,Einige differentialgeometrische Kongruenzsätze für geschlossene Flächen und Hyperflächen, Math. Ann.131 (1956), 180–218.

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Aeppli,Einige Ähnlichkeits- und Symmetriesätze für differenzierbare Flächen im Raum, Comment. Math. Helv.33 (1959), 174–195.

    Article  MATH  MathSciNet  Google Scholar 

  4. L. P. Eisenhart,Continuous groups of transformations (Princeton-London 1934).

  5. J. A. Schouten,Ricci-calculus (second edition) (Berlin 1954).

  6. L. P. Eisenhart,An introduction to differential geometry with use of the tensor calculus (Princeton 1947).

  7. K. Yano,The theory of Lie derivatives and its application (Amsterdam 1957).

  8. E. Cartan,Leçons sur les invariants integraux (Paris 1922).

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Dedicated to the memory of Mrs. Anja Hopf

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Katsurada, Y. Some congruence theorems for closed hypersurfaces in riemann spaces (Part I: Method based on Stoker’ theorem). Commentarii Mathematici Helvetici 43, 176–194 (1968). https://doi.org/10.1007/BF02564388

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  • DOI: https://doi.org/10.1007/BF02564388

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