Some characterizations of anti-invariant submanifolds of trans-sasakian manifolds

被引：0

作者：

Sarkar, A. ^{[1
]}

Bhakta, Pradip ^{[1
]}

Sen, Matilal ^{[2
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

[2] Saldiha Coll Saldiha, Dept Math, Bankura 722173, W Bengal, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 09期

关键词：

Trans-Sasakian manifolds; second fundamental form; recurrent; anti-invariant submanifold; totally geodesic; totally umbilical; LEGENDRE CURVES; CONTACT;

D O I：

10.1142/S1793557121501679

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of this paper is to study anti-invariant submanifolds of trans-Sasakian manifolds. We characterize such submanifolds on the basis of parallelism, semi-parallelism and pseudo parallelism of the second fundamental form of the submanifolds. We also characterize totally umbilical anti-invariant submanifolds of trans-Sasakian manifolds. Existence of Legendre curves on such submanifolds has been analyzed. Whether an anti-invariant submanifold of a trans-Sasakian manifold inherits local symmetry from ambient space is investigated here. Nature of Ricci soliton on anti-invariant submanifolds of trans-Sasakian manifolds has been characterized.

引用

页数：15

共 49 条

[31] Conformally-projectively flat trans-Sasakian statistical manifolds [J].

Kazan, Ahmet .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 535

[32] SOME CURVATURE PROPERTIES OF TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA WEBSTER OKUMURA CONNECTION [J].

Akbar, Ali .

JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2021, 20 (3-4) :243-250

[33] ON 3-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS ADMITTING *-RICCI SOLITONS [J].

Haseeb, Abdul ;

Harish, H. ;

Prakasha, D. G. .

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (01) :105-121

[34] η-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON δ- LORENTZIAN TRANS-SASAKIAN MANIFOLDS [J].

Siddiqi, Mohd Danish ;

Akyol, Mehmet Akif .

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (03) :529-545

[35] Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds [J].

Pavithra, R. C. ;

Nagaraja, H. G. .

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (10)

[36] Warped Product Pseudo-Slant Sub anifold of Trans-Sasakian Manifolds [J].

Khan, Meraj Ali ;

Chahal, Khushwant Singh .

THAI JOURNAL OF MATHEMATICS, 2010, 8 (02) :263-273

[37] SEMI-INVARIANT ξ⊥-SUBMANIFOLDS OF GENERALIZED QUASI-SASAKIAN MANIFOLDS [J].

Calin, Constantin ;

Crasmareanu, Mircea ;

Munteanu, Marian Ioan ;

Saltarelli, Vincenzo .

TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (06) :2053-2062

[38] Second Order Parallel Tensor in Trans-Sasakian Manifolds and Connection with Ricci Soliton [J].

Debnath, Srabani ;

Bhattacharyya, Arindam .

LOBACHEVSKII JOURNAL OF MATHEMATICS, 2012, 33 (04) :312-316

[39] CONFORMAL ANTI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDS [J].

Akyol, Mehmet Akif ;

Sahin, Bayram .

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04) :187-198

[40] Invariant Submanifolds of Sasakian Manifolds Admitting Semi-symmetric Metric Connection [J].

Anitha, B. S. ;

Bagewadi, C. S. .

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2013, 4 (01) :29-38

← 1 2 3 4 5 →