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Local convex deformations and sectional curvature

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References

  1. T. Aubin, Métriques riemanniennes et courbure. J. Differential Geometry4, 383–424 (1970).

    Google Scholar 

  2. M. Berger, Trois remarques sur les variétés à courbure sectionelle positive. C. R. Acad. Sci. Paris, Sér. A263, 76–78 (1966).

    Google Scholar 

  3. SéminaireBerger, 1970–71, Variété à courbure negative. University of Paris 7, notes prepared by Centre de Mathématiques, École Polytechnique, p. 31.

  4. J.-P. Bourguignon, A. Deschamps etP. Sentenac, Conjecture de H. Hopf sur les produits de variétés. Ann. Sci. École Norm. Sup. 4e Sér.5, 277–302 (1972).

    Google Scholar 

  5. J.-P.Bourguignon, A.Deschamps et P.Sentenac, Quelques variations particulières de métriques. To appear in Ann. Sci. École Norm. Sup.

  6. P. E.Ehrlich, Metric deformations of curvature I: local convex deformations. To appear in Geometriae Dedicata.

  7. D. Gromoll andW. Meyer, An exotic sphere with non negative curvature. Ann. of Math., II. Ser.100. 401–406 (1974).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, S.U.N.Y. at Stony Brook, 11794, Stony Brook, New York, USA

    Paul E. Ehrlich

  2. Mathematisches Institut der Universität, Wegelerstraße 10, D-53, Bonn, Bundesrepublik Deutschland

    Paul E. Ehrlich

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  1. Paul E. Ehrlich
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Ehrlich, P.E. Local convex deformations and sectional curvature. Arch. Math 26, 432–435 (1975). https://doi.org/10.1007/BF01229763

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  • DOI: https://doi.org/10.1007/BF01229763

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