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On a Riemannian Manifold M 2n with an Almost Tangent Structure

Published online by Cambridge University Press:  20 November 2018

C.S. Houh
C.S. Houh*
Affiliation:
Wayne State University
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Professor Eliopoulous studied almost tangent structures on manifolds M2n in [1; 2]. An almost tangent structure F is a field of class C∞ of linear operations on M2n such that at each point x in M2n, Fx maps the complexified tangent space into itself and that Fx is of rank n everywhere and satisfies that F2 = 0. In this note, we consider a (1,1) tensor field . on a Riemannian M2n which satisfies everywhere and is such that the rank of F is n everywhere. Such gives an almost tangent structure F on M2n.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 6 , December 1969 , pp. 759 - 769
Copyright
Copyright © Canadian Mathematical Society 1969

References

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