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STUDY OF SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY TRANS-SASAKIAN MANIFOLD ADMITTING A SEMI-SYMMETRIC NON-METRIC CONNECTION

Mobin Ahmad|전재복|MOHD. DANISH SIDDIQI
장전수학회 (Jangjeon Mathematical Society)|2018.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제3호|pp. 555-568|DOI 10.17777/pjms.2018.21.3.019

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참고문헌

키워드

semi-invariant submanifoldsnearly trans-Sasakian manifoldssemisymmetric non-metric connectionGauss and Weingarten equationsintegrability conditionsdistributions
주제분류수학

초록

In this paper a semi-symmetric non-metric connection in a nearly trans-Sasakian manifold is defined and semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a semi-symmetric non-metric connection is studied. Moreover, Nijenhuis tensor is calculated and integrability conditions of the distributions on semi-invariant submanifolds are discussed.

Abstract

In this paper a semi-symmetric non-metric connection in a nearly trans-Sasakian manifold is defined and semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a semi-symmetric non-metric connection is studied. Moreover, Nijenhuis tensor is calculated and integrability conditions of the distributions on semi-invariant submanifolds are discussed.

참고문헌 (17)

  1. Mobin Ahmad, "ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 충청수학회지, 23(2), pp.257~266 (2010), 충청수학회
  2. Ahmad, M., "Semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetrie metric connection", Bull. Allahabad Math. Soc., 25, pp.23~33 (2010)
  3. Ahmad, A., "Hypersurfaces of almost r-paracontact Riemannian manifold endowed with semi-symmetric non-metric connection", Result. Math., 55, pp.1~10 (2009)[DOI]
  4. Bejancu, A., "Geometry of CR-submanifolds" (1986), D. Reidel Publishing Company
  5. Bejancu, A., "On semi-invariant submanifold of an almost contact metric manifold", A. Stiint. Univ. "AL.I. Cuza" Iasi Mat., 27(supplement), pp.17~21 (1981)
  6. Blair, D. E., "Contact manifold in Riemannian geometry, Lecture Notes in Math. 509" (1976), Springer Verlag
  7. Das, L.S., "On Semi-invariant submanifolds of a nearly Sasakian manifolds with semi-symmetric non-metric connection", J. Appl. Science (2010)
  8. Friedmann, A., "Uber die geometrie der halbsymmetrischen ubertragung", Math. Zeitschr., 21, pp.211~223 (1924)[DOI]
  9. Gherghe, C, "Harmonicity on nearly trans-Sasaki manifolds", Demostratio. Math., 33, pp.151~157 (2000)
  10. Janssens, D., "Almost contact structures and curvature tensors", Kodai Math J., 4, pp.1~27 (1981)[DOI]
  11. Kobayashi, M., "Semi-invariant submanifolds of a certain class of almost contact manifolds", Tensor N.S., 43, pp.28~36 (1986)
  12. Kim, J.S., "On Semi-invariant submanifolds of nearly trans-Sasakian manifolds", Int. J. Pure & Appl. Math. Sci., 1, pp.15~34 (2004)
  13. Marrero, J. C., "The local structure of trans-Sasakian manifolds", Ann. Mat. Pure Appl., 162, pp.77~86 (1992)[DOI]
  14. sumoto, K., "Semi-invariant submanifolds of almost contact metric manifold", Bull. Yamagata Univ., 13(3), pp.183~192 (1994)
  15. Oubina, J. A., "New Class of almost contact metric structures", Publ. Math. Devrecen, 32, pp.187~193 (1985)
  16. Shahid, M. H., "CR-Submanifolds of trans-Sasakian manifold", Indian J. Pure Appl. Math., 22, pp.1007~1012 (1991)
  17. Yano, K., "Contact CR-submanifolds", Kodai Math. J., 5(2), pp.238~252 (1982)[DOI]

관련 논문AI추천

ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION전재복, Mobin Ahmad한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호On pseudo-slant submanifolds of a nearly $(\varepsilon,\delta)$-trans Sasakian manifoldJae Bok Jun, Shamsur Rahman대한수학회 · 대한수학회논문집2019 · 제34권 제3호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION진대호장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호On LP-Sasakian Manifolds admitting a Semi-symmetric Nonmetric ConnectionAjit Barman경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호Generic submanifolds of trans-Sasakian manifolds with certain vector fieldsAvijit Sarkar, Sujoy Ghosh강원경기수학회 · 한국수학논문집2021 · 제29권 제2호On f-biharmonic Submanifolds of Three Dimensional Trans Sasakian ManifoldsAvijit Sarkar, Nirmal Biswas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제2호

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