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Extrema associated with homotopy classes of maps

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1167)

Keywords

  • HOMOTOPY Class
  • Finite Type
  • Compact Riemannian Manifold
  • Positive Ricci Curvature
  • General Dilatation

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References

  1. A. Calder and J. Siegel, Homotopy and Uniform Homotopy, Trans. American. Math. Soc. 235(1978), 245–270.

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  2. _____, On the Width of Homotopies, Topology 19(1980), 209–220.

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  3. _____, Homotopies of Bounded Width are Almost Lipschitz, Topology and its Applications 14(1982), 117–129.

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  4. A. Dold, Lectures on Algebraic Topology, Springer-Verlag, Berlin (1972).

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  5. _____, Partitions of Unity in the Theory of Fibrations, Ann. Math. (2)78(1963), 223–255.

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  7. M. Gromov, Homotopical Effects of Dilatation, J. Differential Geom. 13(1978), 303–310.

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  8. J. Milnor, Morse Theory, Annals of Mathematics Studies, Number 51, Princeton University 1963.

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  9. J. Siegel and F. Williams, Variational Invariants of Riemannian Manifolds, Trans. Amer. Math. Soc. (To appear).

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  10. J. Siegel and F. Williams, Uniform Bounds for Isoperimetric Problems, (in preparation).

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© 1985 Springer-Verlag

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Siegel, J. (1985). Extrema associated with homotopy classes of maps. In: Geometry and Topology. Lecture Notes in Mathematics, vol 1167. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075229

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  • DOI: https://doi.org/10.1007/BFb0075229

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16053-3

  • Online ISBN: 978-3-540-39738-0

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