Complex and almost-complex manifolds

T. J. Willmore

doi:10.1093/oso/9780198532538.003.0005

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Complex and almost-complex manifolds

T. J. Willmore

Year: 1993 Pages: 152-200

DOI: 10.1093/oso/9780198532538.003.0005

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Abstract

Abstract A complex structure on a real vector space V is a linear endomorphism J of V such that J2 = - 1, where I stands for the identity transformation of V. A real vector space with a complex structure can be given the structure of a complex vector space.

Keywords:

Endomorphism Complex space Pure mathematics Space (punctuation) Mathematics Vector space Dual space Transformation (genetics) Vector (molecular biology) Computer science

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Topics

Advanced Differential Equations and Dynamical Systems

Physical Sciences → Mathematics → Geometry and Topology

Mathematics and Applications

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Complex and almost-complex manifolds

Abstract

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