Geometric Evolution Equations of Maps Between Riemannian Manifolds

• Applicant: Professor Dr. Knut Smoczyk
• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 569348513

This project aims to study the evolution of submanifolds in Riemannian manifolds under mean curvature flow. Our goal is to deform these objects into canonical forms via mean curvature and other geometric evolution equations. We will focus on three main directions: I. Flows of maps between Riemannian manifolds II. Complete graphical mean curvature flow III. Monotonicity formulas and self-similar solutions.

• DFG Programme: Research Grants
• International Connection: Greece
• Cooperation Partner: Professor Dr. Andreas Savas-Halilaj