New structures on tangent bundles

Authors

  • Manabu Tahara
  • Lieven Vanhecke
  • Yoshiyuki Watanabe

DOI:

https://doi.org/10.1285/i15900932v18n1p131

Keywords:

Tangent bundles, (Almost) complex and Hermitian structures, Kähler structures, (Almost) hypercomplex and hyperhermitian structures, Hyperkähler structures

Abstract

We construct three kinds of almost complex structures compatible with some naturally defined Riemannian metrics on the tangent bundle of an almost Hermitian manifold and in particular, of a complex space form. We use these structures to give a class of hyperhermitian structures and a one-parameter family of hyperkähler structures on the tangent bundle of a complex space form of positive holomorphic sectional curvature.

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Published

01-01-1998

Issue

Volume 18, Issue 1 (1998)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode