Biwave Maps into Manifolds

Transversal Biwave Maps

In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map. We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either. We prove that if f is a transversal biwave map satisfying certain condition, then f is a transversal wave ma...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Stability of F-biharmonic maps

This paper studies some properties of F-biharmonic maps between Riemannian manifolds. By considering the first variation formula of the F-bienergy functional, F-biharmonicity of conformal maps are investigated. Moreover, the second variation formula for F-biharmonic maps is obtained. As an application, instability and nonexistence theorems for F-biharmonic maps are given.

Cobordisms of Fold Maps of 4-manifolds into the Space

We compute the oriented cobordism group of fold maps of 4-manifolds into R 3 with all the possible restrictions (and also with no restriction) to the singular fibers. We also give geometric invariants which describe completely the cobordism group of fold maps.

Locally Minimizing Smooth Harmonic Maps from Asymptotically Flat Manifolds into Spheres

By minimizing the so–called relative energy, we show that there exists a family of locally minimizing smooth harmonic maps from asymptotically flat manifolds into the standard sphere.