A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations

dc.contributor.author	Baudoin, Fabrice
dc.contributor.author	Grong, Erlend
dc.contributor.author	Vega-Molino, Gianmarco
dc.date.accessioned	2022-08-26T11:48:45Z
dc.date.available	2022-08-26T11:48:45Z
dc.date.created	2022-05-19T12:38:47Z
dc.date.issued	2022
dc.identifier.issn	0232-704X
dc.identifier.uri	https://hdl.handle.net/11250/3013783
dc.description.abstract	Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants which are transverse to the leaves. Our proof uses the hypoelliptic sub-Laplacian on forms recently introduced by two of the authors in Baudoin and Grong (Ann Glob Anal Geom 56(2):403–428, 2019).	en_US
dc.language.iso	eng	en_US
dc.publisher	Springer	en_US
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations	en_US
dc.type	Journal article	en_US
dc.type	Peer reviewed	en_US
dc.description.version	publishedVersion	en_US
dc.rights.holder	Copyright The Author(s) 2022	en_US
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.doi	10.1007/s10455-022-09827-3
dc.identifier.cristin	2025601
dc.source.journal	Annals of Global Analysis and Geometry	en_US
dc.source.pagenumber	759-776	en_US
dc.identifier.citation	Annals of Global Analysis and Geometry. 2022, 61, 759-776.	en_US
dc.source.volume	61	en_US

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