4.6 Article

New Bochner type theorems

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MATHEMATISCHE ANNALEN
Volume -, Issue -, Pages -

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SPRINGER HEIDELBERG
DOI: 10.1007/s00208-023-02612-y

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Bochner's classical theorem states that the isometry group of a compact Riemannian manifold with negative Ricci curvature is finite. In this paper, we provide several extensions of Bochner's theorem by allowing small positive Ricci curvature.
A classical theorem of Bochner asserts that the isometry group of a compact Riemannian manifold with negative Ricci curvature is finite. In this paper we give several extensions of Bochner's theorem by allowing small positive Ricci curvature.

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