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The Bernstein problem for foliations

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Global Differential Geometry and Global Analysis 1984

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1156))

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References

  1. S. Bernstein, Sur un théorème de géométrie et ses applications anx équations aux dérivées partielles du type elliptique, Comm. Soc. Math. Karkov 15, 38–45 (1915–1917).

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  2. E. Bombieri, E. De Giorgi, E. Giusti, Minimal cones and the Bernstein problem, Inventiones Math. 7, 243–269 (1969; Zbl. 183,259).

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  3. S. Kobayashi, Transformation groups in differential geometry, Ergebnisse der Math. 70(1972; Zbl. 246.53031).

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  4. F. W. Kamber and Ph. Tondeur, Harmonic foliations, Proc. NSF Conference on Harmonic Maps, Tulane 1980, Lecture Notes in Math 949, 87–121 (1982; Zbl. 511.57020).

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  5. F. W. Kamber and Ph. Tondeur, Curvature properties of harmonic foliations, Ill. J. of Math. 28, 458–471 (1984; Zbl. 529.53027).

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  6. Gen-ichi Oshikiri, A remark on minimal foliations, Tôhoku Math. J. 33, 133–137 (1981; Zbl. 437.57013).

    Article  MathSciNet  MATH  Google Scholar 

  7. B. L. Reinhart, Foliated manifolds with bundle-like metrics, Annals of Math. 69, 119–132 (1959; Zbl. 122,166).

    Article  MathSciNet  MATH  Google Scholar 

  8. S. P. Wang and S. Walter Wei, Bernstein Conjecture in hyperbolic geometry, Seminar on Minimal Submanifolds, Annals of Math. Studies 103, 339–358 (1983).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois Urbana-Champaign, 1409 West Green Street, 61801, Urbana, Illinois

    F. W. Kamber & Ph. Tondeur

Authors
  1. F. W. Kamber
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  2. Ph. Tondeur
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Dirk Ferus Robert B. Gardner Sigurdur Helgason Udo Simon

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© 1985 Springer-Verlag

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Kamber, F.W., Tondeur, P. (1985). The Bernstein problem for foliations. In: Ferus, D., Gardner, R.B., Helgason, S., Simon, U. (eds) Global Differential Geometry and Global Analysis 1984. Lecture Notes in Mathematics, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075093

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  • DOI: https://doi.org/10.1007/BFb0075093

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15994-0

  • Online ISBN: 978-3-540-39698-7

  • eBook Packages: Springer Book Archive

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