On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold

被引：1

作者：

Vanli, A. Turgut ^{[1
]}

Sari, R. ^{[1
]}

机构：

[1] Gazi Univ, Fac Sci & Arts, Dept Math, Ankara, Turkey

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2011年 / 36卷 / 03期

关键词：

Nearly trans-Sasakian manifolds; Invariant submanifolds; (alpha; beta) nearly trans-Sasakian manifolds;

D O I：

10.1007/s13369-011-0042-z

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, invariant submanifolds of a nearly trans-Sasakian manifold are studied. Necessary and sufficient conditions are given to make a submanifold of a nearly trans-Sasakian manifold an invariant submanifold. Moreover, further properties of an invariant submanifolds of a nearly trans-Sasakian manifold are given.

引用

页码：423 / 429

页数：7

共 50 条

[41] Contact CR-Warped Product of Submanifolds of the Generalized Sasakian Space Forms Admitting a Nearly Trans-Sasakian Structure
Khan, M. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2019, 70 (10) : 1635 - 1648
[42] Half lightlike submanifolds of an indefinite trans-Sasakian manifold with a non-metric φ-symmetric connection
Jin, Dae Ho
Lee, Jae Won
AFRIKA MATEMATIKA, 2022, 33 (02)
[43] GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION
Jin, Dae Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (03) : 1003 - 1022
[44] On pseudo-slant submanifolds of trans-Sasakian manifolds
De, Uday Chand
Sarkar, Avijit
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2011, 60 (01) : 1 - 11
[45] Transversal hypersurfaces with (f, g, u, v, lambda)-structure of a nearly trans-Sasakian manifold
Prasad, Rajendra
Yadav, Satya Prakash
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2016, 7 (02) : 115 - 121
[46] Generalised CR-submamifolds of a trans-Sasakian manifold
Sengupta, AK
De, UC
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (04): : 573 - 580
[47] Optimization on submanifolds of δ-Lorentzian trans-Sasakian manifolds with Casorati curvatures
Siddiqui, Aliya Naaz
Siddiqi, Mohd. Danish
Shahid, Mohammad Hasan
TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (04): : 385 - 406
[48] GENERIC SUBMANIFOLDS OF TRANS-SASAKIAN MANIFOLDS WITH CERTAIN VECTOR FIELDS
Sarkar, Avijit
Ghosh, Sujoy
KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (02): : 425 - 434
[49] REMARKS ON ANTI-INVARIANT SUBMANIFOLDS OF A SASAKIAN MANIFOLD
KON, M
TENSOR, 1976, 30 (03): : 239 - 246
[50] ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD
Dirik, Suleyman
Atceken, Mehmet
Yildirim, Umit
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2018, 67 (02): : 264 - 281

← 1 2 3 4 5 →