Quarter-symmetric connection on an almost Hermitian manifold and on a Kähler manifold

Milan Lj Zlatanovic; Miroslav Maksimovic

Makale detayları

Quarter-symmetric connection on an almost Hermitian manifold and on a Kähler manifold

Yazarlar:

Milan Lj Zlatanovic | Miroslav Maksimovic

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.963-980

Belge Tipi:

Makale

Yayın Tarihi:

8/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001325553

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 The paper observes an almost Hermitian manifold as an example of a generalized Riemannian manifold and examines the application of a quarter-symmetric connection on the almost Hermitian manifold. The almost Hermitian manifold with quarter-symmetric connection preserving the generalized Riemannian metric is actually the Kähler manifold. Observing the six linearly independent curvature tensors with respect to the quarter-symmetric connection, we construct tensors that do not depend on the quarter-symmetric connection generator. One of them coincides with the Weyl projective curvature tensor of symmetric metric g. Also, we obtain the relations between the Weyl projective curvature tensor and the holomorphically projective curvature tensor. Moreover, we examine the properties of curvature tensors when some tensors are hybrid.

 The paper observes an almost Hermitian manifold as an example of a generalized Riemannian manifold and examines the application of a quarter-symmetric connection on the almost Hermitian manifold. The almost Hermitian manifold with quarter-symmetric connection preserving the generalized Riemannian metric is actually the Kähler manifold. Observing the six linearly independent curvature tensors with respect to the quarter-symmetric connection, we construct tensors that do not depend on the quarter-symmetric connection generator. One of them coincides with the Weyl projective curvature tensor of symmetric metric g. Also, we obtain the relations between the Weyl projective curvature tensor and the holomorphically projective curvature tensor. Moreover, we examine the properties of curvature tensors when some tensors are hybrid.

 The paper observes an almost Hermitian manifold as an example of a generalized Riemannian manifold and examines the application of a quarter-symmetric connection on the almost Hermitian manifold. The almost Hermitian manifold with quarter-symmetric connection preserving the generalized Riemannian metric is actually the Kähler manifold. Observing the six linearly independent curvature tensors with respect to the quarter-symmetric connection, we construct tensors that do not depend on the quarter-symmetric connection generator. One of them coincides with the Weyl projective curvature tensor of symmetric metric g. Also, we obtain the relations between the Weyl projective curvature tensor and the holomorphically projective curvature tensor. Moreover, we examine the properties of curvature tensors when some tensors are hybrid.

 The paper observes an almost Hermitian manifold as an example of a generalized Riemannian manifold and examines the application of a quarter-symmetric connection on the almost Hermitian manifold. The almost Hermitian manifold with quarter-symmetric connection preserving the generalized Riemannian metric is actually the Kähler manifold. Observing the six linearly independent curvature tensors with respect to the quarter-symmetric connection, we construct tensors that do not depend on the quarter-symmetric connection generator. One of them coincides with the Weyl projective curvature tensor of symmetric metric g. Also, we obtain the relations between the Weyl projective curvature tensor and the holomorphically projective curvature tensor. Moreover, we examine the properties of curvature tensors when some tensors are hybrid.

Makale detayları

Quarter-symmetric connection on an almost Hermitian manifold and on a Kähler manifold

Yazarlar:

Milan Lj Zlatanovic | Miroslav Maksimovic

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.963-980

Belge Tipi:

Makale

Yayın Tarihi:

8/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001325553

pISSN:

2651-477X

almost Hermitian manifold

curvature tensors

hybrid tensor

Kähler manifold

quarter-symmetric connection

torsion tensorAlmost Hermitian manifold

curvature tensors

hybrid tensor

K\"{a}hler manifold

quarter-symmetric connection

torsion tensor

Sayı

Makale detayları

Yazarlar: Milan Lj Zlatanovic | Miroslav Maksimovic

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.963-980

Belge Tipi: Makale

Yayın Tarihi: 8/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001325553

pISSN: 2651-477X

Sayı

Yazarlar:

Milan Lj Zlatanovic | Miroslav Maksimovic

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 4, pp.963-980

Belge Tipi:

Makale

Yayın Tarihi:

8/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001325553

pISSN:

2651-477X