Let M be a complete Riemannian manifold which admits a smooth funotion / such that ||V/||=const.holds for the gradient vector field of /.We show that the Ricci curvature of M controlls such / considerably.
No takes yet. Share an insight, caveat, or question.
Takashi Sakai (1996) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: