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The Bernstein problem for foliations

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

Keywords

  • Ricci Operator
  • Oriented Riemannian Manifold
  • Foliate Manifold
  • Smooth Riemannian Manifold
  • Geodesic Foliation

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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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  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).

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

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  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).

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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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  • Print ISBN: 978-3-540-15994-0

  • Online ISBN: 978-3-540-39698-7

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