@article{CM_1974__29_1_43_0, author = {Chavel, Isaac and Feldman, Edgar A.}, title = {The first eigenvalue of the laplacian on manifolds of non-negative curvature}, journal = {Compositio Mathematica}, pages = {43--53}, publisher = {Noordhoff International Publishing}, volume = {29}, number = {1}, year = {1974}, mrnumber = {356142}, zbl = {0291.53021}, language = {en}, url = {http://archive.numdam.org/item/CM_1974__29_1_43_0/} }
TY - JOUR AU - Chavel, Isaac AU - Feldman, Edgar A. TI - The first eigenvalue of the laplacian on manifolds of non-negative curvature JO - Compositio Mathematica PY - 1974 SP - 43 EP - 53 VL - 29 IS - 1 PB - Noordhoff International Publishing UR - http://archive.numdam.org/item/CM_1974__29_1_43_0/ LA - en ID - CM_1974__29_1_43_0 ER -
%0 Journal Article %A Chavel, Isaac %A Feldman, Edgar A. %T The first eigenvalue of the laplacian on manifolds of non-negative curvature %J Compositio Mathematica %D 1974 %P 43-53 %V 29 %N 1 %I Noordhoff International Publishing %U http://archive.numdam.org/item/CM_1974__29_1_43_0/ %G en %F CM_1974__29_1_43_0
Chavel, Isaac; Feldman, Edgar A. The first eigenvalue of the laplacian on manifolds of non-negative curvature. Compositio Mathematica, Tome 29 (1974) no. 1, pp. 43-53. http://archive.numdam.org/item/CM_1974__29_1_43_0/
[1] Geodesics in Riemannian Geometry. Tata Inst., Bombay, 1965. | MR | Zbl
:[2] Sue les premières valeurs propres des variétés riemannienes. Compositio Math., 26 (1973) 129-149. | EuDML | Numdam | MR | Zbl
:[3] Le Spectre d'une Variété Riemanniene. Lecture Notes in Math., Springer-Verlag, 1971. [4] | MR | Zbl
, , :[4] Partial Differential Equations. Interscience Publishers, 1964. | MR | Zbl
, and :[5] Geometry of Manifolds. Academic Press, 1964. | MR | Zbl
and :[6] The relation between the Laplacian and diameter for manifolds of non-negative curvature. Archiv der Math., 19 (1968) 558-560. | MR | Zbl
:[7] Methods of Mathematical Physics. Vol. 1, Interscience Publishers, 1953. | Zbl
and :[8] Two applications of the technique of length-decreasing variations. Proc. A.M.S., 18 (1967) 327-333. | MR | Zbl
:[9] The volume of a totally geodesic hypersurface in a pinched manifold. Pac. J. Math., 23 (1967) 257-262. | MR | Zbl
:[10] Quatre propriétés isoperimétriques de membranes sphérique homogènes. C.R.A.S., 270 (1970) 1645-1648. | MR | Zbl
:[11] Contributions to Riemannian geometry in the large. Ann. of Math., 69 (1959) 654-666. | MR | Zbl
:[12] Sur les lignes géodesiques des surfaces convexes. Trans. A.M.S., 5 (1905) 237-274. | JFM | MR
:[13] A comparison theorem for self-adjoint differential equations of second order. Ann. of Math., 65 (1957) 197-202. | MR | Zbl
:[14] A Treatise on the Theory of Bessel Functions. Cambridge University Press, 1944; MacMillan, 1944. | MR | Zbl
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