Translating Solitons Over Cartan–Hadamard Manifolds

Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka; De Lira, Jorge H.

doi:10.1007/s12220-023-01218-9

dc.contributor.author	Casteras, Jean-Baptiste
dc.contributor.author	Heinonen, Esko
dc.contributor.author	Holopainen, Ilkka
dc.contributor.author	De Lira, Jorge H.
dc.date.accessioned	2023-03-08T12:25:10Z
dc.date.available	2023-03-08T12:25:10Z
dc.date.issued	2023
dc.identifier.citation	Casteras, J.-B., Heinonen, E., Holopainen, I., & De Lira, J. H. (2023). Translating Solitons Over Cartan–Hadamard Manifolds. <i>Journal of Geometric Analysis</i>, <i>33</i>(5), Article 163. <a href="https://doi.org/10.1007/s12220-023-01218-9" target="_blank">https://doi.org/10.1007/s12220-023-01218-9</a>
dc.identifier.other	CONVID_177155253
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/85910
dc.description.abstract	We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan–Hadamard manifolds. We show that the asymptotic behavior of entire solitons depends heavily on the curvature of the manifold, and that there exist also bounded solutions if the curvature goes to minus infinity fast enough. Moreover, it is even possible to solve the asymptotic Dirichlet problem under certain conditions.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer Science and Business Media LLC
dc.relation.ispartofseries	Journal of Geometric Analysis
dc.rights	CC BY 4.0
dc.subject.other	mean curvature equation
dc.subject.other	translating graphs
dc.subject.other	Hadamard manifold
dc.title	Translating Solitons Over Cartan–Hadamard Manifolds
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202303082070
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	1050-6926
dc.relation.numberinseries	5
dc.relation.volume	33
dc.type.version	publishedVersion
dc.rights.copyright	© 2023 the Authors
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.subject.yso	Riemannin monistot
dc.subject.yso	differentiaaligeometria
dc.subject.yso	monistot
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p39163
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p28181
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s12220-023-01218-9
jyx.fundinginformation	Open Access funding provided by University of Helsinki including Helsinki University Central Hospital.
dc.type.okm	A1