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

[11] Some New Results on Trans-Sasakian Manifolds [J].

Wang, Lei ;

Zhao, Yan .

JOURNAL OF MATHEMATICS, 2022, 2022

[12] PSEUDOPARALLEL ANTI-INVARIANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS [J].

Sular, Sibel ;

Ozgur, Cihan ;

Murathan, Cengizhan .

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (04) :535-543

[13] Totally geodesic submanifolds of a trans-Sasakian manifold [J].

De, Avik .

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2013, 62 (04) :249-257

[14] Pinching results for bi-slant submanifolds in trans-Sasakian manifolds [J].

Massamba, Fortune ;

Mihai, Ion ;

Mohammed, Mohammed .

FILOMAT, 2024, 38 (23) :8081-8096

[15] Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor [J].

Siddiqi, Mohd Danish ;

Bossly, Rawan .

AXIOMS, 2024, 13 (06)

[16] Generalized Trans-Sasakian manifolds [J].

Sinacer, Moulay Larbi ;

Beldjilali, Gherici ;

Bayour, Benaoumeur ;

Bouzir, Habib .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2023, 87

[17] A study on magnetic curves in trans-Sasakian manifolds [J].

Bozdag, Serife Nur .

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2023, 31 (03) :47-60

[18] A note on doubly warped product contact C R-submanifolds in trans-Sasakian manifolds [J].

M. -I. Munteanu .

Acta Mathematica Hungarica, 2007, 116 :121-126

[19] η-RICCI SOLITONS IN (ε, δ)-TRANS-SASAKIAN MANIFOLDS [J].

Siddiqi, Mohd Danish .

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (01) :45-56

[20] ON SOME CLASSES OF INVARIANT SUBMANIFOLDS OF LORENTZIAN PARA-SASAKIAN MANIFOLDS [J].

Chand, De Uday ;

Samui, Srimayee .

TAMKANG JOURNAL OF MATHEMATICS, 2016, 47 (02) :207-220

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