Biwave Maps into Manifolds

Abstract EN

We generalize wave maps to biwave maps.

We prove that the composition of a biwave map and a totally geodesic map is a biwave map.

We give examples of biwave nonwave maps.

We show that if f is a biwave map into a Riemannian manifold under certain circumstance, then f is a wave map.

We verify that if f is a stable biwave map into a Riemannian manifold with positive constant sectional curvature satisfying the conservation law, then f is a wave map.

We finally obtain a theorem involving an unstable biwave map.