The Degree Theorem in higher rank
نویسندگان
چکیده
The problem of relating volume to degree for maps between Riemannian manifolds is a fundamental one. Gromov’s Volume Comparison Theorem [Gr] gives such a relation for maps into negatively curved manifolds. In this paper we extend Gromov’s theorem to locally symmetric manifolds of nonpositive curvature. We derive this as a consequence of the following result, which we believe to be of independent interest.
منابع مشابه
Erratum for the Degree Theorem in Higher Rank
The purpose of this erratum is to correct a mistake in the proof of Theorem 4.1 of
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