Submanifolds immersed in a generalized Hsu quaternion manifold

• Autorzy: Das L. , Nivas R. , Mishra M.
• Języki publikacji: EN

Abstrakty

EN

Integrability conditions of an almost quarternion manifold were studied by Yano and Ako [7]. Hamoui [1] and others have studied quaternion submanifolds of codimension 2 [1]. Vanzura [5] defined and have studied almost r- contact structure on manifolds. In this paper we have defined the Hsu-quaternion manifold and studied the submanifolds of codimension p immersed in a generalized Hsu quaternion manifold. Certain other interesting results have also been established.

Słowa kluczowe

EN

submanifolds; quaternion manifolds; Lorentzian geometry; focal points

PL

podrozmaitość; kwaternion; geometria Lorentziana; punkty ogniskowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 3
• Strony: 639--642
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Das L.

autor

Nivas R.

autor

Mishra M.

• Department of Mathematics, Kent State University, New Philadelphia, OH 44663, USA,

Bibliografia

• [1] A. Hamoui, On quaternion submanifold of codimension 2 , Tensor Society of India, Lucknow, 1 & 2 (1984), 51-58.
• [2] K. K. Dube and Ram Nivas, Almost r-contact hyperbolic structure in a product manifold, Demonstratio Math. 11 (4) (1978), 1-11.
• [3] Ram Nivas and Suab Ahmad, A submanifold of codimension r of an H-structure manifold, Rev. Mat. Univ. Parma 4 (16) (1990), 167-172.
• [4] R. S. Mishra, Structures on Differentiable Manifold and their Application, Chandrama Prakashan, Allahabad, India, 1984.
• [5] R. S. Mishra, Almost Contact Metric Manifolds, Published by Tensor Society of India, 21-Chandganj Gardens, Lucknow, India 1991.
• [6] J. Vanzur a, Almost r-contact structure, Ann. Scuola Norm. Sup. Di Pisa 26 (1972), 97-115.
• [7] Yano and Ako, Integrability conditions for an almost quarternion structure, Hakkaido Math. J. Vol. 1 (1972), 63-86.
• [8] L. Das, On CR-structures and F-structure satisfying FK + (-)K+1F = 0, Rocky Mountain, USA vol. 36 (2006) (to appear).