@article{ASENS_1980_4_13_4_419_0, author = {Croke, Christopher B.}, title = {Some isoperimetric inequalities and eigenvalue estimates}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {419--435}, publisher = {Elsevier}, volume = {Ser. 4, 13}, number = {4}, year = {1980}, doi = {10.24033/asens.1390}, mrnumber = {83d:58068}, zbl = {0465.53032}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1390/} }
TY - JOUR AU - Croke, Christopher B. TI - Some isoperimetric inequalities and eigenvalue estimates JO - Annales scientifiques de l'École Normale Supérieure PY - 1980 SP - 419 EP - 435 VL - 13 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1390/ DO - 10.24033/asens.1390 LA - en ID - ASENS_1980_4_13_4_419_0 ER -
%0 Journal Article %A Croke, Christopher B. %T Some isoperimetric inequalities and eigenvalue estimates %J Annales scientifiques de l'École Normale Supérieure %D 1980 %P 419-435 %V 13 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1390/ %R 10.24033/asens.1390 %G en %F ASENS_1980_4_13_4_419_0
Croke, Christopher B. Some isoperimetric inequalities and eigenvalue estimates. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 13 (1980) no. 4, pp. 419-435. doi : 10.24033/asens.1390. http://archive.numdam.org/articles/10.24033/asens.1390/
[1] Lectures on Geodesics in Riemannian Geometry, Tata Institute, Bombay, 1965. | MR | Zbl
,[2] 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 | Zbl
,[3] Une inégalité universelle pour la première valeur propre du laplacien (Bull. Soc. math. Fr., T. 107, 1979, pp. 3-9). | Numdam | MR | Zbl
,[4] Manifolds All of Whose Geodesics are Closed (Ergebnisse der Mathematik, Vol. 93, Springer, Berlin-Heidelberg-New York, 1978). | MR | Zbl
,[5] Geometry of Manifolds, Academic Press, 1964. | MR | Zbl
and ,[6] 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 | Zbl
,[7] Comparison Theorems in Riemannian Geometry, North Holland, Amsterdam, 1975. | MR | Zbl
and ,[8] On the Hayman-Osserman-Taylor Inequality (preprint).
,[9] Auf Wiedersehenflächen (Ann. of Math., Vol. 78, 1963, pp. 289-299). | MR | Zbl
,[10] 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 | Zbl
,[11] The Isoperimetric Inequality (Bull. Amer. Math. Soc., Vol. 87, 1978, pp. 1182-1238). | MR | Zbl
,[12] Integral Geometry and Geometric Probability (Encyclopedia of Mathematics and Its Applications), Addison-Wesley, London-Amsterdam-Dom Mills, Ontario-Sydney-Tokyo, 1976. | MR | Zbl
,[13] 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 | Zbl
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