Optimal bounds for ancient caloric functions

نویسندگان

چکیده

For any manifold with polynomial volume growth, we show that the dimension of space ancient caloric functions growth is bounded by degree times harmonic same growth. As a consequence, get sharp bound for on where Yau’s 1974 conjecture about holds.

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ژورنال

عنوان ژورنال: Duke Mathematical Journal

سال: 2021

ISSN: ['1547-7398', '0012-7094']

DOI: https://doi.org/10.1215/00127094-2021-0015