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Search: WFRF:(Feng Huitao)

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  • Feng, Huitao, et al. (author)
  • GEODESIC-EINSTEIN METRICS AND NONLINEAR STABILITIES
  • 2019
  • In: Transactions of the American Mathematical Society. - : American Mathematical Society (AMS). - 0002-9947 .- 1088-6850. ; 371:11, s. 8029-8049
  • Journal article (peer-reviewed)abstract
    • 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 this line bundle, which generalize the classical stabilities and Hermitian-Einstein metrics of holomorphic vector bundles. We introduce a Donaldson type functional and show that this functional attains its absolute minimum at geodesic-Einstein metrics, and we also discuss the relations between the existence of geodesic-Einstein metrics and the nonlinear stabilities of the line bundle. As an application, we will prove that a holomorphic vector bundle admits a Finsler-Einstein metric if and only if it admits a Hermitian-Einstein metric, which answers a problem posed by S. Kobayashi.
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  • Result 1-1 of 1
Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Feng, Huitao (1)
Liu, Kefeng (1)
Wan, Xueyuan, 1988 (1)
University
University of Gothenburg (1)
Chalmers University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2019 (1)

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