Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Isometric immersions with congruent Gauss maps


Authors: John Douglas Moore and Maria Helena Noronha
Journal: Proc. Amer. Math. Soc. 110 (1990), 463-469
MSC: Primary 53C42
DOI: https://doi.org/10.1090/S0002-9939-1990-1023353-6
MathSciNet review: 1023353
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A characterization of pairs of isometric immersions which have congruent Gauss maps is given.


References [Enhancements On Off] (What's this?)

  • [BC] R. L. Bishop and R. J. Crittenden, Geometry of manifolds, Academic Press, New York, 1964. MR 0169148 (29:6401)
  • [C] E. Calabi, Isometric imbeddings of complex manifolds, Ann. Math. 58 (1953), 1-23. MR 0057000 (15:160c)
  • [DG] M. Dajczer and D. Gromoll, Real Kähler submanifolds and the uniqueness of the Gauss map, J. Differential Geom. 22 (1985), 13-28. MR 826421 (87g:53088b)
  • [DR] M. Dajczer and L. Rodriguez, Rigidity of real Kähler submanifolds, Duke Math. J. 53 (1986), 211-220. MR 835806 (87g:53089)
  • [dC] M. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Englewood Cliffs, NJ, 1976. MR 0394451 (52:15253)
  • [KN] S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. 1, Wiley, New York, 1963.
  • [L] H. B. Lawson, Lectures on minimal submanifolds, Publish or Perish, Berkeley, CA, 1980.
  • [M] J. D. Moore, Isometric immersions of Riemannian products, J. Differential Geom. 5 (1971), 159-168. MR 0307128 (46:6249)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C42

Retrieve articles in all journals with MSC: 53C42


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-1023353-6
Keywords: Minimal isometric immersion, Gauss map
Article copyright: © Copyright 1990 American Mathematical Society

American Mathematical Society