Kyungpook Mathematical Journal

  • 제56권4호
  • /
  • Pages.1237-1246
  • /
  • 2016
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지
DOI QR코드

DOI QR Code

On Some Properties of Riemannian Manifolds with a Generalized Connection

  • 투고 : 2016.02.14
  • 심사 : 2016.07.13
  • 발행 : 2016.12.23
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we study some properties of submanifolds of a Riemannian manifold equipped with a generalized connection $\hat{\nabla}$. We also consider almost Hermitian manifolds that admits a special case of this generalized connection and derive some results about the behavior of this manifolds.

키워드

과제정보

연구 과제 주관 기관 : Isfahan university of Technology

참고문헌

  1. N. S. Agashe and M. R. Chafle, A semi-symmetric non-metric connection in a Rie-mannian manifold, indian J. Pur Appl. Math., 23(1992), 399-409.
  2. E. Calabi, Construction and properties of some 6-dimensional almost complex mani-folds, Trans. Amer. Math. Sot., 87(1958), 407-438.
  3. E. Calabi and B. Eckmann, A class of compact, complex manifolds which are not algebraic, Ann. of Math., 58(2)(1953), 494-500. https://doi.org/10.2307/1969750
  4. S. K. Chauby and R. H. Ojha, On semi-symmetric non-metric and quarter-symmetric metric connection, Pur and Applied Mathematics Tensor N.S, 70(2)(2008), 202-213.
  5. Y. Dogru, On some properties of submanifolds of a Riemannian manifold endowed with a semi-symmetric non-metric connection, An. St. Univ. Ovidius Constanta, 19(3)(2011), 85-100.
  6. A. Friedmann, J. A. Schouten, Uber die geometrie der halbsymmetrischen ubertra-gungn, Math. Zeitschr, 21(1924), 211-233. https://doi.org/10.1007/BF01187468
  7. S. Golab, On semi-symmetric and quarter-symetric linear connections, Tensor N.S., 29(1975), 249-254.
  8. H. A. Hayden, Subspaces of space with torsion, Proc. London Math. Soc., 55(1994), 107-112.
  9. Y. Liang, On semi-symmetric recurrent-metric connection, Tensor, 34(1932), 27-50.
  10. N. Pandey and B. B. Chaturvedi, semi-symmetric non metrics connections on a Kahler manifold, DGDS., 10(2008), 86-90.
  11. M. M. Tripathi, A new connection in a Riemannian manifold, Int. Electron. J. Geom., 1(1)(2008), 15-24.