Given a projective map F: M→N of a complete Riemannian manifold to a Riemannianmanifold with the sectional curvature bounded above by a negative constant, we prove that f decreases volume up to a constant depending ...Given a projective map F: M→N of a complete Riemannian manifold to a Riemannianmanifold with the sectional curvature bounded above by a negative constant, we prove that f decreases volume up to a constant depending only on the curvatures of M and N. This generalizes theresult due to Har’el.展开更多
文摘Given a projective map F: M→N of a complete Riemannian manifold to a Riemannianmanifold with the sectional curvature bounded above by a negative constant, we prove that f decreases volume up to a constant depending only on the curvatures of M and N. This generalizes theresult due to Har’el.