Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Rika Akiyama
Tokyo Metropolitan University, Japan

 
spricht am
 
Donnerstag, 15. September 2022
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Variational problems for integral invariants of the second fundamental form of a map between Riemannian manifolds«

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.



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