[1] |
C. B. ALLENDOERFER, Rigidity for spaces of class greater than one, Amer. Journ. Math., 61 (1939), 633-644. Zentralblatt MATH: JSTOR: links.jstor.org · Zbl 0021.15803 · doi:10.2307/2371317 |
[2] |
A. AVEZ, Applications de la formule de Gauss-Bonnet-Chern aux varietes a quatre dimen sions, C. R. Acad. Sci. Paris, 256 (1963), 5488-5490. · Zbl 0139.39301 |
[3] |
A. AVEZ, Characteristic classes and Weyl tensor: Applications to general relativity, Proc. Nat. Acad. Sci., 6 (1970), 265-268. JSTOR: · Zbl 0197.26503 · doi:10.1073/pnas.66.2.265 |
[4] |
M. BERGER, Sur les varietes a operateur de courbure positif, C. R. Acad. Sci. Paris, 253 (1961), 2832-2834. · Zbl 0196.54402 |
[5] |
M. BERGER, Sur les varietes dinstein compactes, C. R. IP Reunion de Gr. Math dxp. Latine, Louvain-Belgique (1966), 35-55. · Zbl 0178.56001 |
[6] |
M. BERGER, Le spectre des varietes riemanniennes. Rev. Roum. Math. Pures et Appl., 13 (1968), 915-931. · Zbl 0181.49603 |
[7] |
M. BERGER, P. Gauduchon and E. Mazet, Le Spectre d’une variete riemannienne, Lee Notes in Math. No. 194, Springer-Verlag. · Zbl 0223.53034 |
[8] |
R. L. BISHOP AND S. I. GOLDBERG, Some implications of the generalized Gauss-Bonne theorem, Trans. Amer. Math. Soc, 112 (1964), 508-535. JSTOR: · Zbl 0133.15101 · doi:10.2307/1994158 |
[9] |
S. BOCHNER, Vector fields and Ricci curvature, Bull. Amer. Math. Soc, 52 (1946), 776 797. · Zbl 0060.38301 · doi:10.1090/S0002-9904-1946-08647-4 |
[10] |
S. BOCHNER, Curvature and Betti numbers, Ann. of Math., 49 (1948), 379-390 JSTOR: · Zbl 0038.34401 · doi:10.2307/1969287 |
[11] |
E. CARTAN, Sur la possibilite de plonger un espace riemannien donne dans un espac euclidien, Ann. de Soc. Polon. Math., 6 (1927), 1-7. · JFM 54.0763.05 |
[12] |
D. GROMOLL, W. Klingenberg, and W. Meyer, Riemannsche Geometrie im Groen, Lee Notes in Math. No. 55, Springer-Verlag. · Zbl 0293.53001 · doi:10.1007/BFb0079185 |
[13] |
M. JANET, Sur la possibilite de plonger un espace riemannien donne dans espace euclidien, Ann.de Soc. Polon. Math., 5, (1926), 38-43. · JFM 53.0699.01 |
[14] |
W. KLINGENBERG, ber Riemannsche Mannigfaltigkeiten mit nach oben beschrankte Krummung, Ann. Mat. Pura Appl., 60 (1962), 49-59. · Zbl 0112.13603 · doi:10.1007/BF02412764 |
[15] |
S. KOBAYASHI AND K. NOMIZU, Foundations of Differential Geometry, Vol. I, II, Intersci Publ., 1963, 1969. · Zbl 0119.37502 |
[16] |
D. MEYER, Sur les varietes riemanniennes a operateur de courbure positif, C. R. Acad Sci.Paris, 272 (1971), 482-485. · Zbl 0209.25301 |
[17] |
S. B. MYERS, Riemannian manifolds with positive mean curvature, Duke Math. Journ., 8 (1941), 401-404. Zentralblatt MATH: · Zbl 0025.22704 · doi:10.1215/S0012-7094-41-00832-3 |
[18] |
G. RICCI, Principii di una teoria delle forme differenziale quadratiche, Ann. di Mat., 1 (1883), 135-168. · JFM 16.0230.01 |
[19] |
L. SCHLAEFLI, Nota alia memoria der Sig. Beltrami, Ann. di Mat., 5(1871-1873), 170-193 |
[20] |
I. M. SINGER AND J. A. THORPE, The curvature of 4-dimensional Einstein spaces, Globa Analysis, in h. of K. Kodaira, Princeton Univ. Press, (1966), 355-365. · Zbl 0199.25401 |
[21] |
M. SUGIMOTO AND K. SHIOHAMA, On the differentiate pinching problems, Math. Ann., 195 (1971), 1-16. Zentralblatt MATH: · Zbl 0218.53063 · doi:10.1007/BF02059412 |
[22] |
S. TANNO, Betti numbers and scalar inequalities, Math. Ann., 190 (1970), 135-148 · Zbl 0195.51303 · doi:10.1007/BF01431496 |
[23] |
S. TANNO, Curvature tensors and non-existence of Killing vectors, Tensor, N. S., 2 (1971), 387-394. Zentralblatt MATH: · Zbl 0216.18602 |
[24] |
S. TANNO, An inequality for 4-dimensional Kahlerian manifolds, · Zbl 0273.53023 · doi:10.3792/pja/1195519372 |
[25] |
T. Y. THOMAS, Imbedding theorems in differential geometry, Bull. Amer. Math. Soc, 4 (1939), 841-850. Zentralblatt MATH: · Zbl 0022.40002 · doi:10.1090/S0002-9904-1939-07100-0 |
[26] |
Y. TOMONAGA, Note on Betti numbers of Riemannian manifolds, I, Journ. Math. Soc Japan, 5 (1953), 59-64. · Zbl 0053.11506 · doi:10.2969/jmsj/00510059 |
[27] |
Y. TOMONAGA, Euler-Poincare characteristic and sectional curvature, Diff. Geometry i h. of K. Yano, Kinokuniya, Tokyo, (1972), 501-502. · Zbl 0243.53039 |
[28] |
A. WEINSTEIN, Positively curved · Zbl 0194.52903 |
[29] |
K. YANO AND S. BOCHNER, Curvature and Betti numbers, Ann. Math. Studies, No. 32, Princeton, 1953. · Zbl 0051.39402 |