KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

On Four Dimensional Hermitian Manifolds

Beldjilali Gherici(University of Mascara)0000-0002-8933-1548
Sayfa
—
Yayın Tarihi
2023-10-29
🏛️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)

Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The present paper is devoted to 4-dimentional Hermitain manifold.
📊
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.
💡
Sonuç & Katkı:Then, some basic properties of this class is discussed, also the existence of such manifolds is shown with concrete examples.
🔬Tür:Research Article
📍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.

🔖

Bu Makaleye Atıf Yap

Gherici, B. (2023). On Four Dimensional Hermitian Manifolds. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1258996

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Dragomir, S., Ornea, L.: Locally Conformal Kähler Geometry. Progress in Mathematics, vol. 55. Birkhäuser Boston, MA (1998). https://doi.org/10.1007/978-1-4612-2026-8
  2. Gray, A., Hervella, L. M.: The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl. (4) 123, 35-58 (1980).
  3. Kenmotsu, K.: A class of almost contact Riemannian manifolds. Tohoku Math. J., 24, 93-103 (1972).
  4. Libermann, P.: Sur le problème d’équivalence de certaines structures infinitésimales régulières. Ann. Mat. Pura Appl. 36, 27-120 (1954). (InFrench.)
  5. Nagao, M., Kotô, S.: Curvature in almost Kähler spaces. Memoirs of The Faculty of Education. Niigata University (1973).
  6. Olszak, Z.: Curvature properties of four-dimentional Hermitian manifolds. Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 36, 169-179 (1987).
  7. Ornea, L., Verbitsky, M.: Structure theorem for compact Vaisman manifolds. Math. Res. Lett. 10, 799-805 (2003).
  8. 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).
  13. Olszak, Z.: Curvature properties of four-dimentional Hermitian manifolds. Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 36, 169-179 (1987).