23 citations · 28 across the 2 of their papers we have counts for
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math.DG1999
Weyl structures with positive Ricci tensor
Bogdan Alexandrov, Stefan Ivanov
We prove the vanishing of the first Betti number on compact manifolds admitting a Weyl structure whose Ricci tensor satisfies certain positivity conditions, thus obtaining a Bochne…
math.DG1999
The Dolbeault operator on Hermitian spin surfaces
Bogdan Alexandrov, Gueo Grantcharov, Stefan Ivanov
We consider the Dolbeault operator of -- the square root of the canonical line bundle which determines the spin structure of a compact Hermitian spin surface (M,g,J). We…
math.DG1999
Vanishing theorems on Hermitian manifolds
Bogdan Alexandrov, Stefan Ivanov
We prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with -harmonic Kähler form and positive (1,1)-part of the Ricci form of the Bismut connection…