A note on holomorphic sectional curvature of a hermitian manifold. (4th September 2022)
- Record Type:
- Journal Article
- Title:
- A note on holomorphic sectional curvature of a hermitian manifold. (4th September 2022)
- Main Title:
- A note on holomorphic sectional curvature of a hermitian manifold
- Authors:
- Li, Hongjun
Qiu, Chunhui - Abstract:
- Abstract: As is well known, the holomorphic sectional curvature is just half of the sectional curvature in a holomorphic plane section on a Kähler manifold (Zheng, Complex differential geometry (2000)). In this article, we prove that if the holomorphic sectional curvature is half of the sectional curvature in a holomorphic plane section on a Hermitian manifold then the Hermitian metric is Kähler.
- Is Part Of:
- Glasgow mathematical journal. Volume 64:Part 3(2022)
- Journal:
- Glasgow mathematical journal
- Issue:
- Volume 64:Part 3(2022)
- Issue Display:
- Volume 64, Issue 3, Part 3 (2022)
- Year:
- 2022
- Volume:
- 64
- Issue:
- 3
- Part:
- 3
- Issue Sort Value:
- 2022-0064-0003-0003
- Page Start:
- 739
- Page End:
- 745
- Publication Date:
- 2022-09-04
- Subjects:
- holomorphic sectional curvature -- sectional curvature -- Kahler manifold
53C55 -- 53B35 -- 32Q15
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=GMJ ↗
- DOI:
- 10.1017/S0017089522000064 ↗
- Languages:
- English
- ISSNs:
- 0017-0895
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 22785.xml