A remark on the Bochner technique in differential geometry

Author:

Wu H.

Abstract

It is observed that by pushing the standard arguments one step further, almost all the theorems in differential geometry proved with the help of Bochner’s technique can be sharpened.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference20 articles.

1. Manifolds of negative curvature;Bishop, R. L.;Trans. Amer. Math. Soc.,1969

2. Vector fields and Ricci curvature;Bochner, S.;Bull. Amer. Math. Soc.,1946

3. The splitting theorem for manifolds of nonnegative Ricci curvature;Cheeger, Jeff;J. Differential Geometry,1971

4. Sur les transformations des variétés riemanniennes et kählériennes;Couty, R.;Ann. Inst. Fourier (Grenoble),1959

5. On theorems of Hurwitz and Bochner;Frankel, T.;J. Math. Mech.,1966

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