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Bismut hypoelliptic Laplacians for manifolds with boundaries

Abstract : Boundary conditions for Bismut's hypoelliptic Laplacian which naturally correspond to Dirichlet and Neumann boundary conditions for Hodge Laplacians are considered. Those are related with specific boundary conditions for the differential and its various adjoints. Once the closed realizations of those operators are well understood, the commutation of the differential with the resolvent of the hypoelliptic Laplacian is checked with other properties like the PT-symmetry, which are important for the spectral analysis.
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Preprints, Working Papers, ...
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Contributor : Francis Nier Connect in order to contact the contributor
Submitted on : Wednesday, September 8, 2021 - 3:30:37 PM
Last modification on : Tuesday, October 19, 2021 - 11:50:57 AM


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  • HAL Id : hal-03278062, version 2
  • ARXIV : 2107.01958


Francis Nier, Shu Shen. Bismut hypoelliptic Laplacians for manifolds with boundaries. 2021. ⟨hal-03278062v2⟩



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