[{"abstract":[{"lang":"eng"}],"user_id":"49178","publication":"Communications in Mathematical Physics","author":[{"orcid":"0000-0002-9648-6919","first_name":"Tobias","id":"49178","last_name":"Weich"},{"first_name":"Lasse Lennart","last_name":"Wolf","id":"45027"}],"date_created":"2022-05-11T10:38:11Z","status":"public","volume":403,"intvolume":" 403","_id":"31189","uri_base":"https://ris.uni-paderborn.de","citation":{"mla":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics, vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1.","bibtex":"@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher rank locally symmetric spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1}, journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2023} }","chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1.","apa":"Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics, 403. https://doi.org/10.1007/s00220-023-04819-1","ieee":"T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank locally symmetric spaces,” Communications in Mathematical Physics, vol. 403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.","short":"T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023)."},"type":"journal_article","external_id":{"arxiv":[]},"dc":{"rights":["info:eu-repo/semantics/closedAccess"],"language":["eng"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"identifier":["https://ris.uni-paderborn.de/record/31189"],"description":["Given a geometrically finite hyperbolic surface of infinite volume it is a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding principal eigenvalues. A large class of examples fulfilling these\r\nassumptions are the non-compact quotients by Anosov subgroups."],"relation":["info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00220-023-04819-1","info:eu-repo/semantics/altIdentifier/arxiv/2205.03167"],"date":["2023"],"title":["Absence of principal eigenvalues for higher rank locally symmetric spaces"],"source":["Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally symmetric spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1"],"creator":["Weich, Tobias","Wolf, Lasse Lennart"]},"department":[{"tree":[{"_id":"34"},{"_id":"44"},{"_id":"43"}],"_id":"10"},{"tree":[{"_id":"87"},{"_id":"10"},{"_id":"34"},{"_id":"44"},{"_id":"43"}],"_id":"548"},{"tree":[{"_id":"787"},{"_id":"43"}],"_id":"623"}],"publication_identifier":{"unknown":["1275-1295"]},"dini_type":"doc-type:article","date_updated":"2024-02-06T20:52:40Z","creator":{"id":"45027","login":"llwolf"},"language":[{}]}]