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On Real Almost Hermitian Structures Subordinate to Almost Tangent Structures

Published online by Cambridge University Press:  20 November 2018

Mike P. Closs
Mike P. Closs*
Affiliation:
University of Ottawa
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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. Let J be a linear operator acting on the complexified space of a differentiable manifold V, and satisfying a relation of the form

where λ is a complex constant and I is the identity operator. In the case λ ≠ 0 the manifold has an almost product structure (2) which in the case λ = i reduces to an almost complex structure (3). In the remaining case, λ = 0, the manifold has an almost tangent structure (4).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 1 , April 1968 , pp. 115 - 133
Copyright
Copyright © Canadian Mathematical Society 1968

References

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