# A TOPOLOGICAL GAUSS-BONNET THEOREM

@article{Palais1978ATG, title={A TOPOLOGICAL GAUSS-BONNET THEOREM}, author={R. Palais}, journal={Journal of Differential Geometry}, year={1978}, volume={13}, pages={385-398} }

The generalized Gauss-Bonnet theorem of Allendoerfer- Weil [1] and Chern [2] has played an important role in the development of the relationship between modern differential geometry and algebraic topology, providing in particular one of the primary stimuli for the theory of characteristi c classes. There are now a number of proofs in the literature, from the quite sophisticated (deducing it as a special case of the Atiyah-Singer index theorem for example) to the relatively elementary and… Expand

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