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Dergiler / International Electronic Journal of Geometry / 2023 / Cilt: 16 Sayı: 2

On Four Dimensional Hermitian Manifolds

Beldjilali GHERİCİ
Sayfa
697–706
Yayın Tarihi
2023-10-29
DOI
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Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The present paper is devoted to 4-dimentional Hermitain manifold.
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Temel Bulgular & Veri:We give a new necessary and sufficient condition of integrability and we introduce a new class of locally conformal Kähler manifolds that we consider a twin of the Vaisman ones.
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Sonuç & Katkı:Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost Hermitian manifolds · almost contact metric manifolds · locally conformal Kähler manifolds

Abstract

The present paper is devoted to 4-dimentional Hermitain manifold. We give a new necessary and sufficient condition of integrability and we introduce a new class of locally conformal Kähler manifolds that we consider a twin of the Vaisman ones. Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.

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Bu Makaleye Atıf Yap

GHERİCİ, B. (2023). On Four Dimensional Hermitian Manifolds. International Electronic Journal of Geometry, Cilt: 16 Sayı: 2, 697–706. https://ajindex.com/articles/971855

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Kaynakça (12)

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  5. Libermann, P.: Sur le problème d’équivalence de certaines structures infinitésimales régulières. Ann. Mat. Pura Appl. 36, 27-120 (1954). (InFrench.
  6. Nagao, M., Kotô, S.: Curvature in almost Kähler spaces. Memoirs of The Faculty of Education. Niigata University (1973)
  7. Olszak, Z.: Curvature properties of four-dimentional Hermitian manifolds. Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 36, 169-179 (1987)
  8. Ornea, L., Verbitsky, M.: Structure theorem for compact Vaisman manifolds. Math. Res. Lett. 10, 799-805 (2003)
  9. Oubbich,e N., Beldjilali, G., Bouzir, H., Delloum, A.: New Class of Locally Conformal Kähler Manifolds. Mediterr. J. Math. (2023), doi.org/10.1007/s00009-023-02288-3 [9] Vaisman, I.: On locally conformal almost Kähler manifolds. Isr. J. Math. 24, 338-351 (1976)
  10. Yamaguchi, S.: On Kaehlerian torse-forming vector fields. Kodai Math. J. 2(1), 103-115 (1979)
  11. Yano, K.: On the torse-forming directions in Riemannian spaces. Proc. Imp. Acad. Tokyo. 20, 340-345 (1944)
  12. Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Math., 3, World Sci., (1984).