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Relative Euler class and the Gauss-Bonnet theorem

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Literature Cited

  1. S.-S. Chern, “On curvature and characteristic classes of a Riemannian manifold,” Abhandl. Math. Semin. Univ. Hamburg,20, 117–126 (1955).

    Google Scholar 

  2. S.-S. Chern, Complex Manifolds [Russian translation], IL, Moscow (1961).

    Google Scholar 

  3. C. B. Allendoerfer and A. Weil, “The Gauss-Bonnet theorem for Riemannian polyhedra,” Trans. Amer. Math. Soc.,53, 101–129 (1943).

    Google Scholar 

  4. M. A. Kervaire, “Relative characteristic classes,” Amer. J. Math.,79, 517–558 (1957).

    Google Scholar 

  5. D. Husemoller, Fiber Bundles, McGraw-Hill, New York (1966).

    Google Scholar 

  6. S. Kobayashy and K. Nomizu, Foundations of Differential Geometry, Vol. 2, Interscience Publishers, New York (1969).

    Google Scholar 

  7. S. Kobayashy and K. Nomizu, Foundations of Differential Geometry, Vol. 1, Interscience Publishers, New York (1963).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 6, pp. 1321–1335, November–December, 1973.

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Sharafutdinov, V.A. Relative Euler class and the Gauss-Bonnet theorem. Sib Math J 14, 930–940 (1973). https://doi.org/10.1007/BF00975899

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  • DOI: https://doi.org/10.1007/BF00975899

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