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On a Structure Defined by a Tensor Field F of Type (1, 1) Satisfying F2 = 0

Published online by Cambridge University Press:  20 November 2018

C. S. Houh
C. S. Houh*
Affiliation:
Wayne State University, Detroit Michigan
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Professor Eliopoulous studied almost tangent structure on manifolds M2n in [1], [2], [3]. 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 F2=0.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 3 , September 1973 , pp. 447 - 449
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Eliopoulos, H. A., Structures presque tangentes sur les variétés differentiates, C. R. Acad. Se. Paris, 255 (1962), 1563–1565.Google Scholar
2. Eliopoulos, H. A., Euclidean structures compatible with almost tangent structures, Acad. Roy. Belg. Bull. Cl. Sci. (5) 50 (1964), 1174–1182.Google Scholar
3. Eliopoulos, H. A., On the general theory of differentiable manifolds with almost tangent structure, Canad. Math. Bull. 8 (1965), 721–748.Google Scholar
4. Houh, C. S., On a Riemannian manifold M2n with an almost tangent structure, Canad. Math. Bull. 12 (1969), 759–769.Google Scholar
5. Wakakuwa, H. and Hashimoto, S., Remark on almost tangent structure. Tensor, 20 (1969), 270–272.Google Scholar