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Eells, James jun.

A generalization of the Gauss-Bonnet theorem. (English) Zbl 0088.38003

Trans. Am. Math. Soc. 92, 142-153 (1959).
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Riemannian manifolds
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[1] Carl B. Allendoerfer and André Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101 – 129. · Zbl 0060.38102
[2] C. B. Allendoerfer, Characteristic cohomology classes in a Riemann manifold, Ann. of Math. (2) 51 (1950), 551 – 570. · Zbl 0040.38103 · doi:10.2307/1969368
[3] Carl B. Allendoerfer and James Eells Jr., On the cohomology of smooth manifolds, Comment. Math. Helv. 32 (1958), 165 – 179. · Zbl 0084.39203 · doi:10.1007/BF02564577
[4] Shiing-shen Chern, On the curvatura integra in a Riemannian manifold, Ann. of Math. (2) 46 (1945), 674 – 684. · Zbl 0060.38104 · doi:10.2307/1969203
[5] Shiing-shen Chern, Topics in differential geometry, The Institute for Advanced Study, Princeton, N. J., 1951. · Zbl 0054.06801
[6] -, La géometrie des sous-variétés d’un espace euclidien à plusieurs dimensions, L’Enseignement Math. vol. 40 (1955) pp. 26-46.
[7] Harley Flanders, Development of an extended exterior differential calculus, Trans. Amer. Math. Soc. 75 (1953), 311 – 326. · Zbl 0052.17901
[8] L. S. Pontrjagin, Characteristic cycles on differentiable manifolds, Mat. Sb. vol. 21 (63) (1947) pp. 233-284; Amer. Math. Soc. Translations vol. 32 (1950).
[9] E. Stiefel, Richtungsfelder und Fernparallelismus in \( n\)-dimensionalen Mannigfaltigkeiten, Comment. Math. Helv. vol. 8 (1934-1936) pp. 305-353. · JFM 62.0662.02
[10] Wen-Tsun Wu, Sur les classes caractéristiques des structures fibrées sphériques, Actualités Sci. Ind., no. 1183, Hermann & Cie, Paris, 1952 (French). Publ. Inst. Math. Univ. Strasbourg 11, pp. 5 – 89, 155 – 156. · Zbl 0049.12602
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