Title of article :
A New Flow on Open Manifolds: Short Time Existence and Uniqueness
Author/Authors :
Eichhorn ، Jurgen Institut für Mathematik und Informatik - University of Greifswald , Ghahremani-Gol ، Hajar Department of Mathematics - Faculty of Science - Shahed University , Razavi ، Asadollah Department Pure Mathematics - Faculty of Mathematics and Computer Science - Shahid Bahonar University of Kerman
Abstract :
A new flow on an open manifold with bounded geometry has been considered. We prove short time existence and uniqueness for the flow. The approach is based on the study of the geometry of the manifold of Riemannian metrics on open manifolds. Moreover, some properties of this flow are investigated.
Keywords :
Ricci flow · Space of Riemannian metrics · Bounded geometry
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society