淡江大學機構典藏:Item 987654321/122882
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122882


    Title: Ancient caloric functions on pseudohermitian manifolds
    Authors: Ho, Pak Tung
    Keywords: Ancient caloric functions;Pseudohermitian manifolds;Polynomial growth
    Date: 2022-12-19
    Issue Date: 2023-04-28 16:22:56 (UTC+8)
    Publisher: Springer
    Abstract: For any Riemannian manifold with polynomial volume growth, Colding and Minicozzi obtained a sharp bound on the dimension of the space of ancient caloric functions with polynomial growth. For any pseudohermitian manifold satisfies doubling volume property and parabolic mean value property, we obtain in this paper a sharp bound on the dimension of the space of ancient pseudohermitian caloric functions with polynomial growth.
    Relation: The Journal of Geometric Analysis 33
    DOI: 10.1007/s12220-022-01101-z
    Appears in Collections:[Department of Applied Mathematics and Data Science] Journal Article

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