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Generalized maximum principles and stochastic completeness for pseudo-Hermitian manifolds

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 نشر من قبل Weike Yu
 تاريخ النشر 2020
  مجال البحث
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In this paper, we establish a generalized maximum principle for pseudo-Hermitian manifolds. As corollaries, Omori-Yau type maximum principles for pseudo-Hermitian manifolds are deduced. Moreover, we prove that the stochastic completeness for the heat semigroup generated by the sub-Laplacian is equivalent to the validity of a weak form of the generalized maximum principles. Finally, we give some applications of these generalized maximum principles.



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