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- W1608698519 abstract "We use adiabatic limits to study foliated manifolds. The Bott connection naturally shows up as the adiabatic limit of Levi-Civita connections. As an application, we then construct certain natural elliptic operators associated to the foliation and present a direct geometric proof of a vanshing theorem of Connes[Co], which extends the Lichnerowicz vanishing theorem [L] to foliated manifolds with spin leaves, for what we call almost Riemannian foliations. Several new vanishing theorems are also proved by using our method." @default.
- W1608698519 created "2016-06-24" @default.
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- W1608698519 date "2001-01-01" @default.
- W1608698519 modified "2023-09-27" @default.
- W1608698519 title "Adiabatic limits and foliations" @default.
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- W1608698519 doi "https://doi.org/10.1090/conm/279/04561" @default.
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