On the first eigenvalue of the laplacian on compact surfaces of genus three

dc.contributor.author	Ros Mulero, Antonio
dc.date.accessioned	2022-09-08T09:59:19Z
dc.date.available	2022-09-08T09:59:19Z
dc.date.issued	2021
dc.identifier.citation	Published version: J. Math. Soc. Japan 74(3): 813-828 (July, 2022). [DOI: 10.2969/jmsj/85898589]	es_ES
dc.identifier.uri	http://hdl.handle.net/10481/76582
dc.description.abstract	For any compact Riemannian surface of genus three (Σ,ds2) Yang and Yau proved that the product of the first eigenvalue of the Laplacian λ1(ds2) and the area Area(ds2) is bounded above by 24π. In this paper we improve the result and we show that λ1(ds2)Area(ds2)≤16(4−√7)π≈21.668π. About the sharpness of the bound, for the hyperbolic Klein quartic surface numerical computations give the value ≈21.414π.	es_ES
dc.description.sponsorship	MINECO/FEDER grants no. MTM2017-89677-P	es_ES
dc.description.sponsorship	Junta Andalucía grants no. P06-FQM-01642 and P18-FR-4049	es_ES
dc.language.iso	eng	es_ES
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	On the first eigenvalue of the laplacian on compact surfaces of genus three	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES
dc.identifier.doi	10.2969/jmsj/85898589
dc.type.hasVersion	info:eu-repo/semantics/submittedVersion	es_ES

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