Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

On anti-Kähler manifolds with complex semi-symmetric metric F-connection

Sayfa
1006–1019
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we find expressions of the curvaturetensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of suchconnection, and study their properties.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we construct a complex semi-symmetric metric F-connection on an antiKähler manifold.
📊
Temel Bulgular & Veri:First, we present some results concerning the torsion tensor of thecomplex semi-symmetric metric F-connection.
💡
Sonuç & Katkı:Finally, we find expressions of the curvaturetensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of suchconnection, and study their properties.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we construct a complex semi-symmetric metric F-connection on an antiKähler manifold. First, we present some results concerning the torsion tensor of thecomplex semi-symmetric metric F-connection. Finally, we find expressions of the curvaturetensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of suchconnection, and study their properties.

🔖

Bu Makaleye Atıf Yap

KARAMAN, C., GEZER, A. (2022). On anti-Kähler manifolds with complex semi-symmetric metric F-connection. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1006–1019. https://ajindex.com/articles/529685

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. G. Ganchev and A. Borisov, Note on the almost complex manifolds with a Norden metric, Compt. Rend. Acad. Bulg. Sci. 39 (5), 31–34, 1986.
  2. G. Ganchev, K. Gribachev and V. Mihova, B-connections and their conformal invariants on conformally Kähler manifolds with B-metric, Publ. Inst. Math. (Beograd) (N.S.) 42, 107–121, 1987.
  3. G. Ganchev and V. Mihova, Canonical connection and the canonical conformal group on an almost complex manifold with B-metric, Ann. Univ. Sofia Fac. Math. Inform. 81 (1), 195–206, 1987.
  4. K.I. Gribachev, D.G. Mekerov and G.D. Djelepov, Generalized B-manifolds, Compt. Rend. Acad. Bulg. Sci. 38 (3), 299–302, 1985.
  5. H.A. Hayden, Sub-spaces of a space with torsion, Proc. London Math. Soc. S2-34, 27–50, 1932.
  6. M. Iscan and A.A. Salimov, On Kähler-Norden manifolds, Proc. Indian Acad. Sci. (Math. Sci.), 119 (1), 71–80, 2009.
  7. M. Manev, On canonical-type connections on almost contact complex Riemannian manifolds, Filomat, 29 (3), 411–425, 2015.
  8. A. Salimov, Tensor operators and their applications, (Mathematics Research Developments Series), Nova Science Publ., New York, 2013.
  9. S. Tachibana, Analytic tensor and its generalization, Tohoku Math. J. 12, 208–221, 1960.
  10. K. Yano, On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15, 1579–1586, 1970.
  11. K. Yano and M. Ako, On certain operators associated with tensor fields, Kodai Math. Sem. Rep. 20, 414–436, 1968.
  12. K. Yano and T. Imai, On semi-symmetric metric F- connection, Tensor (N.S.) 29 (2), 134–138, 1975.