×

An inequality between energy and intersection. (English) Zbl 0719.53020

By introducing a quantity called intersection of metrics g, \(g'\) under a continuous map f: (M,g)\(\to (N,g')\) between Riemannian manifolds, the authors establish an inequality between the energy of f and intersection. They prove that the identity map on a closed Riemannian manifold without conjugate points is energy minimizing in its homotopy class.

MSC:

53C20 Global Riemannian geometry, including pinching
PDFBibTeX XMLCite
Full Text: DOI