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Almost Complex Manifolds; Integrability Conditions

  • Shiing-shen Chern
Part of the Universitext book series (UTX)

Abstract

Let M be a C manifold of dimension n. To a point x ∈ M we will denote by Tx and T x * the tangent and cotangent spaces respectively. An almost complex structure on M is a C field of endomorphisms Jx: Tx → Tx, such that J x 2 = −1x, where 1x denotes the identity endomorphism in Tx.

Keywords

Complex Manifold Integrability Condition Local Coordinate System Tensor Field Cotangent Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© S.-s. Chern 1979

Authors and Affiliations

  • Shiing-shen Chern
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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