The first eigenvalue of the laplacian on manifolds of non-negative curvature
Compositio Mathematica, Tome 29 (1974) no. 1, pp. 43-53. 
@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://www.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://www.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://www.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://www.numdam.org/item/CM_1974__29_1_43_0/

[1] M. Berger: Geodesics in Riemannian Geometry. Tata Inst., Bombay, 1965. | MR | Zbl

[2] M. Berger: Sue les premières valeurs propres des variétés riemannienes. Compositio Math., 26 (1973) 129-149. | EuDML | Numdam | MR | Zbl

[3] M. Berger, P. Gauduchon, E. Mazet: Le Spectre d'une Variété Riemanniene. Lecture Notes in Math., Springer-Verlag, 1971. [4] | MR | Zbl

[4] L. Bers, F. Johns and M. Schechter: Partial Differential Equations. Interscience Publishers, 1964. | MR | Zbl

[5] R. Bishop and R. Crittenden: Geometry of Manifolds. Academic Press, 1964. | MR | Zbl

[6] J. Cheeger: The relation between the Laplacian and diameter for manifolds of non-negative curvature. Archiv der Math., 19 (1968) 558-560. | MR | Zbl

[7] H. Courant and D. Hilbert: Methods of Mathematical Physics. Vol. 1, Interscience Publishers, 1953. | Zbl

[8] N. Grossman: Two applications of the technique of length-decreasing variations. Proc. A.M.S., 18 (1967) 327-333. | MR | Zbl

[9] N. Grossman: The volume of a totally geodesic hypersurface in a pinched manifold. Pac. J. Math., 23 (1967) 257-262. | MR | Zbl

[10] J. Hersch: Quatre propriétés isoperimétriques de membranes sphérique homogènes. C.R.A.S., 270 (1970) 1645-1648. | MR | Zbl

[11] W. Klingenberg: Contributions to Riemannian geometry in the large. Ann. of Math., 69 (1959) 654-666. | MR | Zbl

[12] H. Poincare: Sur les lignes géodesiques des surfaces convexes. Trans. A.M.S., 5 (1905) 237-274. | JFM | MR

[13] W.T. Reid: A comparison theorem for self-adjoint differential equations of second order. Ann. of Math., 65 (1957) 197-202. | MR | Zbl

[14] G.N. Watson: A Treatise on the Theory of Bessel Functions. Cambridge University Press, 1944; MacMillan, 1944. | MR | Zbl