Abstract
Let $M$ be a complete, simply connected Riemannian manifold with positive constant scalar curvature, and $TM$ its tangent bundle with the complete lift metric. Assume that $TM$ admits an essential infinitesimal conformal transformation, then $M$ is isometric to the standard sphere.
Citation
Kazunari YAMAUCHI. "On conformal transformations in tangent bundles." Hokkaido Math. J. 30 (2) 359 - 372, June 2001. https://doi.org/10.14492/hokmj/1350911958
Information