Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator

Sergey Stepanov; Irina Tsyganok

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arXiv · 1703.09569

Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator

Sergey Stepanov·Irina Tsyganok

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Abstract

We give a classification for connected complete locally irreducible Riemannian manifolds with nonpositive curvature operator, which admit a nonzero closed or co-closed conformal Killing $L^{2}-$form. Moreover, we prove vanishing theorems for closed and co-closed conformal Killing $L^{2}-$forms on some complete Riemannian manifolds.

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BibTeX RIS

Sergey Stepanov, Irina Tsyganok. 2017-03-28. Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator. https://arxiv.org/abs/1703.09569

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