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Manifolds with geodesic chords of constant length

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References

  1. Allamigeon, A.: Propriétés globales des espaces de Riemann harmoniques. Ann. Inst. Fourier15, 91–132 (1965)

    Google Scholar 

  2. Bangert, V.: Totally convex sets in complete Riemannian manifolds. J. Differential Geometry16, 333–345 (1981)

    Google Scholar 

  3. Berger, M.: Lectures on geodesics in Riemannian geometry. Bombay: Tata Institute of Fundamental Research 1965

    Google Scholar 

  4. Besse, A.L.: Manifolds all of whose geodesics are closed. In: Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 93. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  5. Croke, C.B.: Some isoperimetric inequalities and eigenvalue estimates. Ann. Sci. Ecole Norm. Sup.13, 419–435 (1980)

    Google Scholar 

  6. Gromoll, D., Klingenberg, W., Meyer, W.: Riemannsche Geometrie im Großen. In: Lecture Notes in Mathematics, Vol. 55. Berlin, Heidelberg, New York: Springer 1968

    Google Scholar 

  7. Morse, M.: The calculus of variations in the large. Am. Math. Soc. Colloq. Publ., Vol. 18. Providence, RI: Am. Math. Soc. 1934. Reprinted 1960

  8. Santalo, L.A.: Integral geometry in general spaces. Proc. Intern. Congress Math. (Cambridge 1950), Vol. I. Am. Math. Soc., pp. 483–489 (1952)

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  1. Mathematisches Institut der Universität, Hebelstrasse 29, D-7800, Freiburg, Germany

    Victor Bangert

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  1. Victor Bangert
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Bangert, V. Manifolds with geodesic chords of constant length. Math. Ann. 265, 273–281 (1983). https://doi.org/10.1007/BF01456020

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