Lifts of Almost Product Structures From Manifolds to Tangent Bundles

被引：0

作者：

Kankarej, Manisha M. ^{[1
]}

机构：

[1] Rochester Inst Technol, Dept Math & Sci, Dubai, U Arab Emirates

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

Integrability; Lifts; Nijenhuis tensor; Partial di ff erential equations; Projection tensors; Partial Integrability; METALLIC STRUCTURES; SASAKIAN MANIFOLD; CONNECTION;

D O I：

10.28924/2291-8639-22-2024-116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper I have explored the properties of complete and horizontal lifts of an almost product structure. Its partial integrability and integrability conditions on the tangent bundle are part of this study. Along with di ff erent theorems on the lifts the prolongation of an almost product structure on the third tangent bundle T-3 M has been explored.

引用

页数：8

共 22 条

[1] Remarks about the Kaluza-Klein metric on tangent bundle [J].

Altunbas, Murat ;

Bilen, Lokman ;

Gezer, Aydin .

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (03)

[2]

[Anonymous], 1973, Kodai Math. Sem. Rep.

[3] General Natural Metallic Structure on Tangent Bundle [J].

Azami, Shahroud .

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A1) :81-88

[4]

Dida HM, 2011, ARCH MATH-BRNO, V47, P293

[5]

Dida H.M., 2022, Bull. Transilv. Univ. Bras,ov Ser. III Math. Comput. Sci., V1, P37, DOI [10.31926/but.mif.2021.1.63.2.4, DOI 10.31926/BUT.MIF.2021.1.63.2.4]

[6]

Dida M. H., 2009, INT J MATH ANAL, V3, P443

[7]

Goldberg S. I., 1970, KODAI MATH SEM REP, V22, P199

[8] On Complete, Horizontal and Vertical Lifts From a Manifold With fx (6, 4) Structure to Its Cotangent Bundle [J].

Kankarej, Manisha M. ;

Singh, Jai Pratap .

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20

[9] Certain Results on the Lifts from an LP-Sasakian Manifold to Its Tangent Bundle Associated with a Quarter-Symmetric Metric Connection [J].

Khan, Mohammad Nazrul Islam ;

Mofarreh, Fatemah ;

Haseeb, Abdul ;

Saxena, Mohit .

SYMMETRY-BASEL, 2023, 15 (08)

[10] Characterizations of the Frame Bundle Admitting Metallic Structures on Almost Quadratic φ-Manifolds [J].

Khan, Mohammad Nazrul Islam ;

De, Uday Chand ;

Alam, Teg .

MATHEMATICS, 2023, 11 (14)

← 1 2 3 →