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20032018
most citedFlat vector bundles and open coverings

4 citations · 19 across the 13 of their papers we have counts for

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13 papers

math.DG2018★ 1 cited

An equivalence theorem of a class of Minkowski norms and its applications

Huitao Feng, Yuhua Han, Ming Li

In this paper, the Cartan tensors of the -norms are investigated in details. Then an equivalence theorem of -norms is proved. As a consequence in Finsler geometry, ge…

math.DG2018★ 3 cited

Complex Finsler vector bundles with positive Kobayashi curvature

Huitao Feng, Kefeng Liu, Xueyuan Wan

In this short note, we prove that a complex Finsler vector bundle with positive Kobayashi curvature must be ample, which partially solves a problem of S. Kobayashi posed in 1975. A…

math.DG2017★ 1 cited

Compact Kähler manifolds with positive orthogonal bisectional curvature

Huitao Feng, Kefeng Liu, Xueyuan Wan

In this short note, using Siu-Yau's method [14], we give a new proof that any n-dimensional compact Kahler manifold with positive orthogonal bisectional curvature must be biholomo…

math.DG2017★ 4 cited

Geodesic-Einstein metrics and nonlinear stabilities

Huitao Feng, Kefeng Liu, Xueyuan Wan

In this paper, we introduce notions of nonlinear stabilities for a relative ample line bundle over a holomorphic fibration and define the notion of a geodesic-Einstein metric on th…

math.DG2016

Superconnections and An Intrinsic Gauss-Bonnet-Chern Formula for Finsler Manifolds

Huitao Feng, Ming Li

In this paper, we establish an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds by using the Mathai-Quillen's superconnection formalism, in which no extra vector field is…

math.DG2016★ 4 cited

Flat vector bundles and open coverings

Huitao Feng, Weiping Zhang

We establish a generic counting formula for the Euler number of a flat vector bundle of rank over a dimensional closed manifold, in terms of vertices of transversal open…