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math.DG2019
Holomorphic Euler number of Khler manifolds with almost nonnegative Ricci curvature
Xiaoyang Chen
Let be a compact Khler manifold with almost nonnegative Ricci curvature and nonzero first Betti number. We show that the holomorphic Euler number of vanishes,…
math.DG2019
Morse-Novikov cohomology of almost nonnegatively curved manifolds
Xiaoyang Chen
Let be a closed manifold of almost nonnegative sectional curvature and nonzero first de Rham cohomology group. For any , we show that the M…