A note on curvature and Betti numbers

A note on curvature and Betti numbers
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by H. Guggenheimer PDF

Proc. Amer. Math. Soc. 2 (1951), 867-870 Request permission

References

S. Bochner, Curvature and Betti numbers, Ann. of Math. (2) 49 (1948), 379–390. MR 25238, DOI 10.2307/1969287
S. Bochner, Curvature and Betti numbers. II, Ann. of Math. (2) 50 (1949), 77–93. MR 29252, DOI 10.2307/1969353
Beno Eckmann and Heinrich Guggenheimer, Sur les variétés closes à métrique hermitienne sans torsion, C. R. Acad. Sci. Paris 229 (1949), 503–505 (French). MR 31816
Charles Ehresmann, Sur la théorie des espaces fibrés, Topologie algébrique, Colloques Internationaux du Centre National de la Recherche Scientifique, no. 12, Centre de la Recherche Scientifique, Paris, 1949, pp. 3–15 (French). MR 0035021
H. Guggenheimer, Über komplex-analytische Mannigfaltigkeiten mit Kählerscher Metrik, Comment. Math. Helv. 25 (1951), 257–297 (German). MR 46738, DOI 10.1007/BF02566457
W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge, at the University Press, 1952. 2d ed. MR 0051571
H. Hopf, Zur Topologie der komplexen Mannigfaltigkeiten, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 167–185 (German). MR 0023054