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2006 On submanifolds in locally symmetric spaces of noncompact type
Jean-François Lafont, Benjamin Schmidt
Algebr. Geom. Topol. 6(5): 2455-2472 (2006). DOI: 10.2140/agt.2006.6.2455

Abstract

Given a connected, compact, totally geodesic submanifold Ym of noncompact type inside a compact locally symmetric space of noncompact type Xn, we provide a sufficient condition that ensures that [Ym]0Hm(Xn;); in low dimensions, our condition is also necessary. We provide conditions under which there exist a tangential map of pairs from a finite cover (X̄,Ȳ) to the nonnegatively curved duals (Xu,Yu).

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Jean-François Lafont. Benjamin Schmidt. "On submanifolds in locally symmetric spaces of noncompact type." Algebr. Geom. Topol. 6 (5) 2455 - 2472, 2006. https://doi.org/10.2140/agt.2006.6.2455

Information

Received: 10 July 2006; Accepted: 9 November 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1129.53030
MathSciNet: MR2286032
Digital Object Identifier: 10.2140/agt.2006.6.2455

Subjects:
Primary: 53C35
Secondary: 55R37, 57R42, 57R45, 57T15

Rights: Copyright © 2006 Mathematical Sciences Publishers

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