Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator
Differential Geometry
2017-03-29 v1
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 form. Moreover, we prove vanishing theorems for closed and co-closed conformal Killing forms on some complete Riemannian manifolds.
Keywords
Cite
@article{arxiv.1703.09569,
title = {Conformal Killing $L^{2}-$forms on complete Riemannian manifolds with nonpositive curvature operator},
author = {Sergey Stepanov and Irina Tsyganok},
journal= {arXiv preprint arXiv:1703.09569},
year = {2017}
}