Corank and asymptotic filling-invariants for symmetric spaces |
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Authors: | E Leuzinger |
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Institution: | (1) Math. Institut II, Universit?t Karlsruhe, D-76128 Karlsruhe, Germany, e-mail: Enrico.Leuzinger@math.uni-karlsruhe.de, DE |
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Abstract: | Let X be a Riemannian symmetric space of noncompact type. We prove that there exists an embedded submanifold which is quasi-isometric to a manifold with strictly negative sectional curvature, which intersects a given flat F in a geodesic line and which satisfies dim(Y) — 1 = dim(X) — rank(X). This yields an estimate of the hyperbolic corank of X. As another application we show that certain asymptotic filling invariants of X are exponential.
Submitted: February 1999, Revised version: November 1999. |
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