Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/438

 Title: Some Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres Authors: Erdem, Sadettin Keywords: HermitianPara-Hermitian and Indefinite Metric Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 1, (1999), 83p-90p Abstract: It is shown that the spheres S^(2n) (resp: S^k with k ≡ 1 mod 4) can be given neither an indefinite metric of any signature (resp: of signature (r, k − r) with 2 ≤ r ≤ k − 2) nor an almost paracomplex structure. Further for every given Riemannian metric on an almost para-Hermitian manifold with the associated 2-form φ one can construct an almost Hermitian structure (under certain conditions, two different almost Hermitian structures) whose associated 2-form(s) is φ. URI: http://hdl.handle.net/10525/438 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 1

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