Ruh, Ernst A. Curvature and differentiable structure on spheres. (English) Zbl 0206.50704 Bull. Am. Math. Soc. 77, 148-150 (1971); Comment. Math. Helv. 46, 127-136 (1971). Reviewer: Ernst A. Ruh Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 53C20 Global Riemannian geometry, including pinching Citations:Zbl 0135.40301; Zbl 0216.43803 × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] M. Berger, Les variétés remanniennes dont la courbure satisfait certaines conditions, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 447 – 456 (French). [2] M. Berger, Les variétés Riemanniennes (1/4)-pincées, Ann. Scuola Norm. Sup. Pisa (3) 14 (1960), 161 – 170 (French). · Zbl 0096.15502 [3] Jeff Cheeger, Pinching theorems for a certain class of Riemannian manifolds, Amer. J. Math. 91 (1969), 807 – 834. · Zbl 0183.50301 · doi:10.2307/2373353 [4] Detlef Gromoll, Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären, Math. Ann. 164 (1966), 353 – 371 (German). · Zbl 0135.40301 · doi:10.1007/BF01350046 [5] W. Klingenberg, Contributions to Riemannian geometry in the large, Ann. of Math. (2) 69 (1959), 654 – 666. · Zbl 0133.15003 · doi:10.2307/1970029 [6] Wilhelm Klingenberg, Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung, Comment. Math. Helv. 35 (1961), 47 – 54 (German). · Zbl 0133.15005 · doi:10.1007/BF02567004 [7] H. E. Rauch, A contribution to differential geometry in the large, Ann. of Math. (2) 54 (1951), 38 – 55. · Zbl 0043.37202 · doi:10.2307/1969309 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.