Universität Augsburg
|
Rika Akiyama
Tokyo Metropolitan University, Japan
spricht am
Donnerstag, 15. September 2022
um
15:00 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: |
By using an idea of integral geometry, we define integral invariants of the second fundamental form of a map between Riemannian manifolds and construct a family of energy functionals including the bienergy functional. In this talk, we focus on some energy functionals defined by homogeneous polynomials of degree two among them and show their first and second variational formulae. From these results, we obtain an alternative expression of the Euler-Lagrange equation of the bienergy functional and introduce the Chern-Federer energy functional, whose Euler-Lagrange equation is a second-order partial differential equation. |
Hierzu ergeht herzliche Einladung. |