Tobias Marxen and Volker Branding
|Ricci Flow on Warped Product Manifolds
The Ricci flow has become famous via the solution of Thurston's
|On semi-biharmonic maps between Riemannian manifolds
We introduce an action functional for maps between Riemannian manifolds that interpolates between the actions for harmonic and biharmonic maps. Action functionals of this type are used in both elasticity theory and string theory. Critical points of this functional will be called semi biharmonic maps. We will report on the basic properties of semi-biharmonic maps and present several existence and non-existence results.