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Croke, Christopher B.
Some isoperimetric inequalities and eigenvalue estimates. Annales scientifiques de l'École Normale Supérieure, Sér. 4, 13 no. 4 (1980), p. 419-435
Full text djvu | pdf | Reviews MR 83d:58068 | Zbl 0465.53032 | 9 citations in Numdam

stable URL: http://www.numdam.org/item?id=ASENS_1980_4_13_4_419_0

Bibliography

[1] M. BERGER, Lectures on Geodesics in Riemannian Geometry, Tata Institute, Bombay, 1965.  MR 35 #6100 |  Zbl 0165.55601
[2] M. BERGER, Some Relations Between Volume, Injectivity Radius, and Convexity Radius in Riemannian Manifolds, Differential Geometry and Relativity, D. Reidel Publishing Co., Dordrecht-Boston, 1976, pp. 33-42.  MR 56 #6562 |  Zbl 0342.53038
[3] M. BERGER, Une inégalité universelle pour la première valeur propre du laplacien (Bull. Soc. math. Fr., T. 107, 1979, pp. 3-9).
Numdam |  MR 80f:58046 |  Zbl 0399.35080
[4] A. BESSE, Manifolds All of Whose Geodesics are Closed (Ergebnisse der Mathematik, Vol. 93, Springer, Berlin-Heidelberg-New York, 1978).  MR 80c:53044 |  Zbl 0387.53010
[5] R. BISHOP and R. CRITTENDEN, Geometry of Manifolds, Academic Press, 1964.  MR 29 #6401 |  Zbl 0132.16003
[6] J. CHEEGER, A Lower Bound for the Smallest Eigenvalue of the Laplacian, in Problems in Analysis (A Symposium in Honor of S. Bochner, Princeton University Press, Princeton, 1970, pp. 195-199).  MR 53 #6645 |  Zbl 0212.44903
[7] J. CHEEGER and D. G. EBIN, Comparison Theorems in Riemannian Geometry, North Holland, Amsterdam, 1975.  MR 56 #16538 |  Zbl 0309.53035
[8] S.-Y. CHENG, On the Hayman-Osserman-Taylor Inequality (preprint).
[9] L. W. GREEN, Auf Wiedersehenflächen (Ann. of Math., Vol. 78, 1963, pp. 289-299).  MR 27 #5206 |  Zbl 0116.13503
[10] P. LI, On the Sobolev Constant and the p-Spectrum of a Compact Riemannian Manifold (Ann. scient. Éc. Norm. Sup., T. 13, 1980, pp. 451-467).
Numdam |  MR 82h:58054 |  Zbl 0466.53023
[11] R. OSSERMAN, The Isoperimetric Inequality (Bull. Amer. Math. Soc., Vol. 87, 1978, pp. 1182-1238).
Article |  MR 58 #18161 |  Zbl 0411.52006
[12] L. A. SANTALÓ, Integral Geometry and Geometric Probability (Encyclopedia of Mathematics and Its Applications), Addison-Wesley, London-Amsterdam-Dom Mills, Ontario-Sydney-Tokyo, 1976.  MR 55 #6340 |  Zbl 0342.53049
[13] S.-T. YAU, Isoperimetric Constants and the First Eigenvalue of a Compact Riemannian Manifold [Ann. scient. Éc. Norm. Sup., (4), T. 8, 1975, pp. 487-507].
Numdam |  MR 53 #1478 |  Zbl 0325.53039
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