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Vanishing Theorems and String Backgrounds / Ivanov, S. (Sofiya, Inst. Math.) ; Papadopoulos, G. (CERN)
We show various vanishing theorems for the cohomology groups of compact hermitian manifolds for which the Bismut connection has (restricted) holonomy contained in SU(n) and classify all such manifolds of dimension four. In this way we provide necessary conditions for the existence of such structures on hermitian manifolds. [...]
math/0010038; CERN-TH-2000-282; CERN-TH-2000-282.- Geneva : CERN, 2001 - 25 p. - Published in : Class. Quantum Gravity 18 (2001) 1089-1110 External link: Preprint - Please contact the library if you need to access this document.

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