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Gromoll, D.

Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären. (German) Zbl 0135.40301

Math. Ann. 164, 353-371 (1966).
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Cited in 29 Documents

Keywords:

Riemannian manifolds
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References:

[1] Berger, M.: Les variétés Riemanniennes dont la courbure satisfait certaines conditions. Proc. Intern. Congress of Mathematicians 1962, 447-456.
[2] ?? Les variétés Riemanniennes (1/4)-pincées. Ann. Scuola Norm. Sup. Pisa, Ser. III,14, 161-170 (1960).
[3] Cerf, J.: La nullité du groupe ?4. Paris 1963.
[4] Kervaire, M., andJ. Milnor: Groups of homotopy Spheres I. Ann. Math.77, 504-537 (1963). · Zbl 0115.40505 · doi:10.2307/1970128
[5] Klingenberg, W.: Contributions to Riemannian geometry in the large. Ann. Math.69, 654-666 (1959). · Zbl 0133.15003 · doi:10.2307/1970029
[6] ?? Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung. Comment. Math. Helv.35, 35-54 (1961). · Zbl 0133.15005 · doi:10.1007/BF02567004
[7] – Riemannsche Geometrie im Großen. Vorlesungsausarbeitung vonD. Gromoll undW. Meyer, Math. Inst. der Univ. Bonn, 1962. Erscheint in der Serie ?Lecture Notes in Mathematics?. Berlin-Heidelberg-New York: Springer.
[8] Milnor, J.: On manifolds homeomorphic to the 7-sphere. Ann. Math.64, 399-405 (1956). · Zbl 0072.18402 · doi:10.2307/1969983
[9] ?? Differentiable structures on spheres. Am. J. Math.81, 962-972 (1959). · Zbl 0111.35501 · doi:10.2307/2372998
[10] – Differentiable manifolds which are homotopy spheres. Mimeographed notes, Princeton 1958.
[11] – Differentiable structures. Princeton 1960. · Zbl 0095.36802
[12] –, andM. Kervaire, siehe [4].
[13] Munkres, J. R.: Obstructions to the smoothing of piecewise-differentiable homeomorphisms. Ann. Math.72, 521-554 (1960). · Zbl 0108.18101 · doi:10.2307/1970228
[14] ?? Differentiable isotopies on the 2-sphere. Michigan Math. J.7, 193-197 (1960). · Zbl 0108.18003 · doi:10.1307/mmj/1028998426
[15] Preissmann, A.: Quelques propriétés globales des espaces de Riemann. Comment. Math. Helv.15, 175-216 (1943). · Zbl 0027.25903 · doi:10.1007/BF02565638
[16] Smale, S.: Generalized Poincaré conjecture in dimensions greater than four. Ann. Math.74, 391-406 (1961). · Zbl 0099.39202 · doi:10.2307/1970239
[17] ?? Differentiable and combinatorial structures on manifolds. Ann. Math.74, 498-502 (1961). · Zbl 0111.18902 · doi:10.2307/1970294
[18] ?? Diffeomorphisms of the 2-sphere. Proc. Am. Math. Soc.10, 621-626 (1959). · Zbl 0118.39103
[19] Rauch, H. E.: A contribution to differential geometry in the large. Ann. Math.54, 38-55 (1951). · Zbl 0043.37202 · doi:10.2307/1969309
[20] Toponogoff, V. A.: (In russischer Sprache), Dokl. Acad. Nauk S.S.S.R.115, 674-676 (1957).
[21] ?? Dokl. Acad. Nauk U.S.S.R.120, 719-721 (1958).
[22] ?? Uspechi14, 87-130 (1959).
[23] ?? Riemannian spaces having their curvature bounded below by a positive number. Am. Math. Soc. Transl., Series 2,37, 291-336 (1964). · Zbl 0136.42904
[24] Dombrowski, P.: Krümmungsgrößen gleichungsdefinierter Untermannigfaltigkeiten Riemannscher Mannigfaltigkeiten. Erscheint 1967 im Jahresbericht der DMV. · Zbl 0172.23101
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