Invariant Measure and the Euler Characteristic of Projectively Flat Manifolds

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dc.creatorJo, Kyeonghee
dc.creatorKim, Hyuk
dc.date2002-10-22
dc.date.accessioned2026-07-07T04:52:13Z
dc.date.available2026-07-07T04:52:13Z
dc.descriptionIn this paper, we show that the Euler characteristic of an even dimensional closed projectively flat manifold is equal to the total measure which is induced from a probability Borel measure on RP^n invariant under the holonomy action, and then discuss its consequences and applications. As an application, we show that the Chern's conjecture is true for a closed affinely flat manifold whose holonomy group action permits an invariant probability Borel measure on RP^n; that is, such a closed affinly flat manifold has a vanishing Euler characteristic.
dc.identifierhttps://arxiv.org/abs/math/0210335
dc.identifierhttp://arxiv.org/abs/math/0210335
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65386
dc.subjectGeometric Topology
dc.subject57R20, 53C15
dc.titleInvariant Measure and the Euler Characteristic of Projectively Flat Manifolds
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