On isometric and minimal isometric embeddings
Thomas Ivey and J. M. Landsberg
Source: Duke Math. J. Volume 89, Number 3
(1997), 555-576.
First Page:
Show
Hide
Primary Subjects:
53C42
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241207
Mathematical Reviews number (MathSciNet): MR1470342
Zentralblatt MATH identifier: 01089063
Digital Object Identifier: doi:10.1215/S0012-7094-97-08923-7
References
[BBG] E. Berger, R. Bryant, and P. Griffiths, The Gauss equations and rigidity of isometric embeddings, Duke Math. J. 50 (1983), no. 3, 803–892.
Mathematical Reviews (MathSciNet): MR85k:53056
Zentralblatt MATH: 0526.53018
Digital Object Identifier: doi:10.1215/S0012-7094-83-05039-1
Project Euclid: euclid.dmj/1077303336
[Cal] E. Calabi, Isometric imbedding of complex manifolds, Ann. of Math. (2) 58 (1953), 1–23.
Mathematical Reviews (MathSciNet): MR15,160c
Zentralblatt MATH: 0051.13103
Digital Object Identifier: doi:10.2307/1969817
[Car1] E. Cartan, Sur les variétés de courbure constante d'un espace euclidien ou non euclidien, Bull. Soc. Math. France 47 (1919), 125–160, 48 (1920), 132–208; Œuvres Complètes, Partie. 3, Vol. 1, Gauthier-Villars, Paris, 1955, 321–432.
[Car2] E. Cartan, Les systèmes différentiels extérieurs et leurs applications géométriques, Actualités Sci. Ind., no. 994, Hermann et Cie., Paris, 1945.
Mathematical Reviews (MathSciNet): MR7,520d
Zentralblatt MATH: 0063.00734
[CO] S. S. Chern and R. Osserman, Remarks on the Riemannian metric of a minimal submanifold, Geometry Symposium, Utrecht 1980 (Utrecht, 1980), Lecture Notes in Math., vol. 894, Springer, Berlin, 1981, pp. 49–90.
Mathematical Reviews (MathSciNet): MR83k:53010
Zentralblatt MATH: 0477.53056
[GH] P. A. Griffiths and J. Harris, Algebraic geometry and local differential geometry, Ann. Sci. École Norm. Sup. (4) 12 (1979), no. 3, 355–452.
Mathematical Reviews (MathSciNet): MR81k:53004
Zentralblatt MATH: 0426.14019
[Lan] J. M. Landsberg, Differential-geometric characterizations of complete intersections, J. Differential Geom. 44 (1996), no. 1, 32–73.
Mathematical Reviews (MathSciNet): MR98d:14062
Zentralblatt MATH: 0873.53007
Project Euclid: euclid.jdg/1214458739
[Law] H. B. Lawson, Lectures on minimal submanifolds. Vol. I, Mathematics Lecture Series, vol. 9, Publish or Perish Inc., Wilmington, Del., 1980.
Mathematical Reviews (MathSciNet): MR82d:53035b
Zentralblatt MATH: 0434.53006
[M] J. D. Moore, Isometric immersions of space forms in space forms, Pacific J. Math. 40 (1972), 157–166.
Mathematical Reviews (MathSciNet): MR46:4442
Zentralblatt MATH: 0238.53033
Project Euclid: euclid.pjm/1102968830
[S]1 M. Spivak, A comprehensive introduction to differential geometry. Vol. I, Publish or Perish Inc., Wilmington, Del., 1979.
Mathematical Reviews (MathSciNet): MR82g:53003a
Zentralblatt MATH: 0439.53001
[S]2 M. Spivak, A comprehensive introduction to differential geometry. Vol. II, Publish or Perish Inc., Wilmington, Del., 1979.
Mathematical Reviews (MathSciNet): MR82g:53003b
Zentralblatt MATH: 0439.53002
[S]3 M. Spivak, A comprehensive introduction to differential geometry. Vol. III, Publish or Perish Inc., Wilmington, Del., 1979.
Mathematical Reviews (MathSciNet): MR82g:53003c
Zentralblatt MATH: 0439.53003
[S]4 M. Spivak, A comprehensive introduction to differential geometry. Vol. IV, Publish or Perish Inc., Wilmington, Del., 1979.
Mathematical Reviews (MathSciNet): MR82g:53003d
Zentralblatt MATH: 0439.53004
[S]5 M. Spivak, A comprehensive introduction to differential geometry. Vol. V, Publish or Perish Inc., Wilmington, Del., 1979.
Mathematical Reviews (MathSciNet): MR82g:53003e
Zentralblatt MATH: 0439.53005
[T] T. Y. Thomas, Riemann spaces of class one and their characterization, Acta Math. 67 (1936), 169–211.
Zentralblatt MATH: 0015.27304
Mathematical Reviews (MathSciNet): MR1555419
Digital Object Identifier: doi:10.1007/BF02401741
Duke Mathematical Journal
