On submanifolds in locally symmetric spaces of noncompact type

Jean-Francois Lafont; Benjamin Schmidt

doi:10.2140/agt.2006.6.2455

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On submanifolds in locally symmetric spaces of noncompact type

Jean-Francois Lafont·Benjamin Schmidt

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Abstract

Given a connected, compact, totally geodesic submanifold Y^m of noncompact type inside a compact locally symmetric space of noncompact type X^n, we provide a sufficient condition that ensures that [Y^m] is nonzero in H_m(X^n; R); in low dimensions, our condition is also necessary. We provide conditions under which there exist a tangential map of pairs from a finite cover (X-bar,Y-bar) to the nonnegatively curved duals (X_u,Y_u).

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BibTeX RIS

Jean-Francois Lafont, Benjamin Schmidt. 2009-07-29. On submanifolds in locally symmetric spaces of noncompact type. https://doi.org/10.2140/agt.2006.6.2455

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