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On Projective Maps of Volume-Decreasing
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作者 蔡开仁 《Chinese Quarterly Journal of Mathematics》 CSCD 1995年第2期40-44,共5页
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
关键词 PROJECTIVE map volume-decreasing RICCI CURVATURE sectional CURVATURE
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