Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold

被引：0

作者：

Maria del Carmen Calvo

Guillermo G. R. Keilhauer

机构：

[1] Universidad de Buenos Aires,Departamento de Matemática

[2] Ciudad Universitaria,undefined

来源：

Geometriae Dedicata | 1998年 / 71卷

关键词：

connection map; tangent bundle; tensor field.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

To any (0, 2)-tensor field on the tangent bundle of a Riemannian manifold, we associate a global matrix function. Based on this fact, natural tensor fields are defined and characterized, essentially by means of well-known algebraic results. In the symmetric case, this classification coincides with the one given by Kowalski–Sekizawa; in the skew-symmetric one, it does with that obtained by Janyška.

引用

页码：209 / 219

页数：10

共 50 条

[21] On Riemannian g-natural metrics of the form a.gs+b.gh+c.gv on the tangent bundle of a Riemannian manifold (M,g)
Abbassi, Mohamed Tahar Kadaoui
Sarih, Maati
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2005, 2 (01) : 19 - 43
[22] The ciconia metric on the tangent bundle of an almost Hermitian manifold
Albuquerque, R.
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (03) : 969 - 984
[23] HORIZONTAL LIFT METRIC ON THE TANGENT BUNDLE OF A WEYL MANIFOLD
Altunbas, Murat
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (04): : 895 - 901
[24] The ciconia metric on the tangent bundle of an almost Hermitian manifold
R. Albuquerque
Annali di Matematica Pura ed Applicata (1923 -), 2020, 199 : 969 - 984
[25] A locally symmetric pseudo-Riemannian structure on the tangent bundle
Papaghiuc, N
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2001, 59 (3-4): : 303 - 315
[26] Pseudo-Riemannian metrics on tangent bundle and harmonic problems
Oniciuc, C
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2000, 7 (03) : 443 - 454
[27] On Riemannian g-natural Metrics of the Form a.gs + b.gh + c.gv on the Tangent Bundle of a Riemannian Manifold (M, g)
Mohamed Tahar Kadaoui Abbassi
Maâti Sarih
Mediterranean Journal of Mathematics, 2005, 2 : 19 - 43
[28] Hyper-Kahler structures on the tangent bundle of a Kahler manifold
Oproiu, Vasile
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2010, 15 (01): : 104 - 119
[29] Almost Hermitian structures on the tangent bundle of almost symplectic manifold
V. I. Panzhenskii
O. V. Sukhova
Russian Mathematics, 2007, 51 (11) : 73 - 75
[30] QUARTER-SYMMETRIC METRIC CONNECTION ON TANGENT BUNDLE OF NORDEN MANIFOLD
Akpinar, Rabia Cakan
Okyay, Harun Cagatay
JOURNAL OF SCIENCE AND ARTS, 2021, (03): : 647 - 658

← 1 2 3 4 5 →