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Slant sub-manifolds of generalized Sasakian-space-forms

P. SIVA KOTA REDDY|G. SOMASHEKHARA|K. SHIVASHANKARA|N. PAVANI
장전수학회 (Jangjeon Mathematical Society)|2022.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제25권 제1호|pp. 83-88|DOI 10.17777/pjms.2022.25.1.009

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참고문헌

키워드

Sub-manifoldSlant sub-manifoldGeneral- ized Sasakian-space-formKilling tensor field
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초록

In this paper, we study the slant submanifolds of general- ized Sasakian space forms when structure tensor field ∅ is Killing. Also, obtained the conditions for anti-invariant submanifolds under some ge- ometrical conditions such as ∇Q = 0 and ∇T = 0.

Abstract

In this paper, we study the slant submanifolds of general- ized Sasakian space forms when structure tensor field ∅ is Killing. Also, obtained the conditions for anti-invariant submanifolds under some ge- ometrical conditions such as ∇Q = 0 and ∇T = 0.

참고문헌 (12)

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  3. B. Y. Chen, "Geometry of slant submanifolds" (1990), Katholieke Universiteit Leuven
  4. A. Lotta, "Slant submanifolds in contact geometry", Bull. Math. Soc. Roumanie, 39, pp.183~198 (1996)
  5. A. Lotta, "Three-dimensional slant submanifolds of K-contact manifolds", Balkan J. Geom. Appl, 3(1), pp.37~51 (1998)
  6. A. Lotta, "Foliations of the Sasakian space R2n+1 by minimal slant submanifolds", Acta Math. Hungar., 84(1-2), pp.135~148 (1999)
  7. H. G. Nagaraja, "On Generalized Sasakian-Space-Forms", ISRN Geometry, pp.309486~309497 (2012)
  8. H. G. NAGARAJA, "SUBMANIFOLD OF (κ, μ)- CONTACT METRIC MANIFOLD AS A RICCI SOLITON", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 24(1), pp.11~19 (2021), 장전수학회
  9. G. Somashekhara, "Generalized Sasakian-space-forms and trans-Sasakian manifolds", Acta Math. Acad. Paedagog. Nyhazi, 28(2), pp.207~216 (2012)
  10. G. SOMASHEKHARA, "INDEFINITE SASAKIAN MANIFOLD WITH QUARTER-SYMMETRIC METRIC CONNECTION", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 24(1), pp.91~98 (2021), 장전수학회
  11. G. Somashekhara, "Conformal Ricci Soliton in an Indefinite Trans-Sasakian manifold", Vladikavkaz Math. J, 23(3), pp.43~49 (2021)
  12. S. K. Hui, "Invariant submanifolds of general-ized Sasakian-space-forms", Int. J. Geom. Methods Mod. Phys, 15(9), pp.1850149~ (2018)

관련 논문AI추천

SLANT LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD이재원, 진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Shape operator of slant submanifolds in Sasakian space forms김영호, 윤대원, 이철우대한수학회 · 대한수학회보2003 · 제40권 제1호Slant Submanifolds of (LCS)n-manifoldsMukesh Kumar Shukla, Rajendra Prasad, Shiv Sharma Shukla경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호On pseudo-slant submanifolds of a nearly $(\varepsilon,\delta)$-trans Sasakian manifoldJae Bok Jun, Shamsur Rahman대한수학회 · 대한수학회논문집2019 · 제34권 제3호Conformal semi-slant submersions from Lorentzian para Sasakian manifoldsPunit Kumar Singh, Rajendra Prasad, Sushil Kumar대한수학회 · 대한수학회논문집2019 · 제34권 제2호Certain class of contact CR-submanifolds of a Sasakian space form김향숙, 박진석, Don Kwon Choi대한수학회 · 대한수학회논문집2014 · 제29권 제1호

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