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Affine bundles and integrable almost tangent structures

Published online by Cambridge University Press:  24 October 2008

M. Crampin  and
G. Thompson
M. Crampin
Affiliation:
Faculty of Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, U.K.
G. Thompson
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, NC 27514, U.S.A.
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Extract

An almost tangent structure on a manifold N is a type (1,1) tensor field S onN with the property that at each point y ∊N the kernel of Sy (regarded as a linear endo-morphism of TyN) coincides with its image. An almost tangent structure is said to be integrable if its Nijenhuis tensor vanishes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 61 - 71
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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