Infinitesimal Transformations of Riemannian Manifolds—The Geometric Dynamics Point of View

Abstract

In the present paper, we study the geometry of infinitesimal conformal, affine, projective, and harmonic transformations of complete Riemannian manifolds using the concepts of geometric dynamics and the methods of the modern version of the Bochner technique.

Keywords

• complete Riemannian manifold
• geometric dynamical systems
• Liouville-type theorems
• infinitesimal transformations