Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Author:
Ganotis Konstantinos
Supervisors info:
Παναγιώτης Γιαννιώτης, Επίκουρος Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
The mean curvature flow of entire graphs
Translated title:
The mean curvature flow of entire graphs
Summary:
We present a classic result in the theory of mean curvature flow, due to Ecker-Huisken. In particular, we discuss the behavior of entire graphs under the mean curvature flow. In their work, Ecker-Huisken proved that, in the case of entire graphs, the flow exists for all time. Furthermore, if the initial graph is asymptotically conical then, after suitable rescaling, the flow converges to a self-similar expanding solution of mean curvature flow with the same asymptotically conical behavior.
Main subject category:
Science
Keywords:
mean curvature flow, geometric flows, geometry, differential geometry, extrinsic geometric flows
