SavedAdd your journal

Journals / Konuralp Journal of Mathematics / 2019 / Volume: 7 Issue: 2

Some Properties of the Riemannian Extensions

Filiz Ocak0000-0003-4157-6404
Pages
—
Publication Date
2019-10-15
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then we investigate Nordenian properties of the Riemannian extension in the cotangent bundle.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we construct an almost complex structure on the cotangent bundle.
📊
Key Findings & Data:In this article, we construct an almost complex structure on the cotangent bundle.
💡
Conclusion & Impact:Then we investigate Nordenian properties of the Riemannian extension in the cotangent bundle.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian extension · cotangent bundle · almost complex structure

Abstract

In this article, we construct an almost complex structure on the cotangent bundle. Then we investigate Nordenian properties of the Riemannian extension in the cotangent bundle.

🔖

Cite This Article

Ocak, F. (2019). Some Properties of the Riemannian Extensions. Konuralp Journal of Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1521709

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. S. Aslanci, S. Kazimova and A.A. Salimov, Some notes concerning Riemannian extensions, Ukrainian Math. J., 62 (2010), 661-675.
  2. A. Bonome, R. Castro, L. M. Hervella and Y. Matsushita, Construction of Norden structures on neutral 4-manifolds, JP J. Geom. Topol., 5 (2005), 121-140.
  3. S.L. Drut¸˘a, Classes of general natural almost anti-Hermitian structures on the cotangent bundles, Mediterranean J. Math, 8 (2011), 161-179.
  4. G.T. Ganchev and A.V. Borisov, Note on the almost complex manifolds with a Norden metric, C. R. Acad. Bulg. Sci.,39(1986), 31–34.
  5. M. Iscan, A.A. Salimov, On K¨ahler-Norden manifolds, Proc. Indian Acad. Sci. Math. Sci., 119(2009), 71-80.
  6. G.I. Kruckovic, Hypercomplex structures on manifolds.I, Trudy. Sem. Vektor. Tenzor. Anal., 16(1972), 174-201(in Russian).
  7. A. Salimov, Tensor Operators and Their Applications, Nova Science Publishers, New York, 2012.
  8. A.A. Salimov, M. Iscan and K. Akbulut, Some remarks concerning hyperholomorphic B-manifolds, Chin. Ann. Math., 29(2008), 631–640.
  9. A.A. Salimov, M. Iscan and F. Etayo, Paraholomorphic B-manifold and its properties, Topology Appl., 154(2007), 925-933.
  10. A.A. Salimov, S. Turanli, Curvature properties of anti-K¨ahler-Codazzi manifolds, C. R. Acad. Sci. Paris, Ser. I, 351(2013), 225–227.
  11. V.V. Vishnevskii, Integrable affinor structures and their plural interpretations, J. Math. Sci., 108(2002), 151-187.
  12. K. Yano and S. Ishihara, Tangent and Cotangent Bundles, Pure and Applied Mathematics, 16, Marcel Dekker, Inc., New York, 1973.