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On the General Theory of Differentiable Manifolds with Almost Tangent Structure

Published online by Cambridge University Press:  20 November 2018

Hermes A. Eliopoulos
Hermes A. Eliopoulos*
Affiliation:
University of Windsor
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Some of the most important G-Structures of the first kind [1] are those defined by linear operators satisfying algebraic relations. If the linear operator J acting on the complexified space of a differentiable manifold V satisfies a relation of the form

where I is the identity operator, the manifold has an almost complex structure ([2] [3]). The structures defined by

are the almost product structures ([3] [4]).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 6 , December 1965 , pp. 721 - 748
Copyright
Copyright © Canadian Mathematical Society 1965

References

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