Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2)
Yıl: 2021 Cilt: 14 Sayı: 2 Sayfa Aralığı: 305 - 312 Metin Dili: İngilizce DOI: 10.36890/IEJG.936026 İndeks Tarihi: 15-05-2022
Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2)
Öz: It was proved in Chen’s paper (Arch. Math. (Basel) 67 (1996), 519–528) that every real hypersurface in the complex projective plane of constant holomorphic sectional curvature 4 satisfies δ(2) ≤ 9 4 H2 + 5, where H is the mean curvature and δ(2) is a δ-invariant introduced by him. In this paper, we study non-Hopf real hypersurfaces satisfying the equality case of the inequality under the condition that the mean curvature is constant along each integral curve of the Reeb vector field. We describe how to obtain all such hypersurfaces.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Sasahara T (2021). Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). , 305 - 312. 10.36890/IEJG.936026 |
| Chicago | Sasahara Toru Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). (2021): 305 - 312. 10.36890/IEJG.936026 |
| MLA | Sasahara Toru Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). , 2021, ss.305 - 312. 10.36890/IEJG.936026 |
| AMA | Sasahara T Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). . 2021; 305 - 312. 10.36890/IEJG.936026 |
| Vancouver | Sasahara T Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). . 2021; 305 - 312. 10.36890/IEJG.936026 |
| IEEE | Sasahara T "Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2)." , ss.305 - 312, 2021. 10.36890/IEJG.936026 |
| ISNAD | Sasahara, Toru. "Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2)". (2021), 305-312. https://doi.org/10.36890/IEJG.936026 |
| APA | Sasahara T (2021). Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). International Electronic Journal of Geometry, 14(2), 305 - 312. 10.36890/IEJG.936026 |
| Chicago | Sasahara Toru Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). International Electronic Journal of Geometry 14, no.2 (2021): 305 - 312. 10.36890/IEJG.936026 |
| MLA | Sasahara Toru Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). International Electronic Journal of Geometry, vol.14, no.2, 2021, ss.305 - 312. 10.36890/IEJG.936026 |
| AMA | Sasahara T Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). International Electronic Journal of Geometry. 2021; 14(2): 305 - 312. 10.36890/IEJG.936026 |
| Vancouver | Sasahara T Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2). International Electronic Journal of Geometry. 2021; 14(2): 305 - 312. 10.36890/IEJG.936026 |
| IEEE | Sasahara T "Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2)." International Electronic Journal of Geometry, 14, ss.305 - 312, 2021. 10.36890/IEJG.936026 |
| ISNAD | Sasahara, Toru. "Real Hypersurfaces in the Complex Projective Plane Satisfying an Equality Involving δ(2)". International Electronic Journal of Geometry 14/2 (2021), 305-312. https://doi.org/10.36890/IEJG.936026 |
