پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 390 |
| تعداد مقالات | 3,402 |
| تعداد مشاهده مقاله | 5,239,200 |
| تعداد دریافت فایل اصل مقاله | 3,580,000 |
Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 بهمن 1403 اصل مقاله (1.58 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15327.1022 | ||
| نویسنده | ||
| Shamsur Rahman* | ||
| Maulana Azad National Urdu University, Polytechnic, Satellite Campus Darbhanga, Bihar 846001, India. | ||
| چکیده | ||
| Our focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds. We examine the geometry of these submanifolds. For a totally umbilical proper-slant submanifold that corresponds to a nearly δ- Lorentzian trans Sasakian manifold, we demonstrate necessary and sufficient conditions. Finally, we talk about the integrability of distributions on approximately δ- Lorentzian trans Sasakian manifold pseudo-slant submanifolds. | ||
| کلیدواژه‌ها | ||
| Nearly δ-trans -Sasakian manifolds؛ slant submanifold؛ proper slant submanifold؛ pseudo-slant submanifold | ||
| مراجع | ||
|
[1] A. Bejancu, Geometry of CR-submanifolds, D. Reidel Publ. Co. 1986. [2] A. Bejancu, CR-submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc. 69 (1), (1978), 135-142. [3] A. Carriazo, New developments in slant submanifolds theory, Narasa Publishing Hause New Delhi, India, 2002. [4] A. Horaira, M. S. Khan and S. Rahman On Pseudo Slant Submanifolds of Nearly Quasi Sasakian Manifolds with Quarter Symmetric Metric Connection, International Journal of Science Engineering Development Research, 8, (8), (2023), 787-795. [5] A. Lotta, Slant submanifolds in contact geometry, Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 39, (1996), 183-198. [6] B.Y. Chen, Geometry of Slant Submanifolds, Kath. Univ. Leuven, Dept. of Mathematics, Leuven, 1990. [7] I. Mihai and R. Rosca, On Lorentzian P-Sasakian manifolds, Classical Analysis, World Scienti c Publ., (1992) 155-169. [8] J. B. Jun and S. Rahman, On pseudo-slant submanifolds of a nearly ("; ) trans-Sasakian Manifold, Communications of the Korean Mathematical Society, 34 (3) (2019), 935-949. [9] J. L. Cabrerizo, A. Carriazo, L. M. Fernndez and M. Fernndez, Semi-slant submanifolds of a Sasakian manifold, Geom. Dedicata. 78, (1999), 183-199. [10] J. L. Cabrerizo, A. Carriazo, L. M. Fernndez and M. Fernndez, Structure on a slant submanifold of a contact manifold, Indian J. Pure Appl. Math. 31, (2000), 857-864. [11] K. L. Duggal and A. Bejancu, Spacetime geometry of CR-structures, Contemporary Math. 170, (1994), 49-63. [12] K. Matsumoto, On Lorentzian para-contact manifolds, Bull. of Yamagata Univ.,Nat. Sci., 12, 151-156. [13] K. Matsumoto and I. Mihai, On a certain transformation in Lorentzian para-Sasakian manifold, Tensor, N.S., 47, (1988), 189-197. [14] K. Yano and M. Kon, Contact CR-submanifolds, Kodai Math. J. 5 (2) (1982), 238-252. [15] M.H. Shahid, A. Sharfuddin and S.A. Husain, CR-submanifolds of a Sasakian manifold, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 15 (1) (1985), 263-278. [16] M. Kobayashi, CR-submanifolds of a Sasakian manifold, Tensor, N.S., 35 (3) (1981), 297-307. [17] N. Papaghiuc, Semi-slant submanifolds of a Kaehlerian manifold, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 40, (1994) 55-61. [18] S. Rahman, CR-submanifolds of a nearly -Lorentzian trans Sasakian manifold, Turkic World Mathematical Society Journal of Applied and Engineering Mathematics 8 (1) (2018), 51-60. [19] U.C. De, K. Matsumoto and A. A. Shaikh, On Lorentzian para-Sasakian manifolds, Rendi-contidel Seminario Matematico di Messina, Serie II, Supplemento al n., 3, (1999), 149-158. [20] V. A. Khan, and M. A. Khan, Pseudo-slant submanifolds of a Sasakian manifold, Indian J. Pure Appl. Math., 38, (2007), 31-42. | ||
|
آمار تعداد مشاهده مقاله: 33 تعداد دریافت فایل اصل مقاله: 81 |
||