Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant
We prove that an almost Kähler manifold (M, g, J) with dim M ≥ 8 and pointwise constant antiholomorphic sectional curvature is a complex space-form.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
1998-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1998(1)/151-166.pdf |
| _version_ | 1818552689698537472 |
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| author | M. Falcitelli A. Farinola O.T. Kassabov |
| author_facet | M. Falcitelli A. Farinola O.T. Kassabov |
| author_sort | M. Falcitelli |
| collection | DOAJ |
| description | We prove that an almost Kähler manifold (M, g, J) with dim M ≥ 8 and pointwise constant antiholomorphic sectional curvature is a complex space-form. |
| first_indexed | 2024-12-12T09:16:27Z |
| format | Article |
| id | doaj.art-8c1e84233a224028916aa298048e3a2d |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-12T09:16:27Z |
| publishDate | 1998-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-8c1e84233a224028916aa298048e3a2d2022-12-22T00:29:22ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501998-01-01181151166Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constantM. Falcitelli0A. Farinola1O.T. Kassabov2Università degli Studi di BariUniversità degli Studi di BariHigher Transport School (BBTY)We prove that an almost Kähler manifold (M, g, J) with dim M ≥ 8 and pointwise constant antiholomorphic sectional curvature is a complex space-form.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1998(1)/151-166.pdfalmost kähler manifoldantiholomorphic sectional curvaturecomplex space-form |
| spellingShingle | M. Falcitelli A. Farinola O.T. Kassabov Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant Rendiconti di Matematica e delle Sue Applicazioni almost kähler manifold antiholomorphic sectional curvature complex space-form |
| title | Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant |
| title_full | Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant |
| title_fullStr | Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant |
| title_full_unstemmed | Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant |
| title_short | Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant |
| title_sort | almost kahler manifolds whose antiholomorphic sectional curvature is pointwise constant |
| topic | almost kähler manifold antiholomorphic sectional curvature complex space-form |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1998(1)/151-166.pdf |
| work_keys_str_mv | AT mfalcitelli almostkahlermanifoldswhoseantiholomorphicsectionalcurvatureispointwiseconstant AT afarinola almostkahlermanifoldswhoseantiholomorphicsectionalcurvatureispointwiseconstant AT otkassabov almostkahlermanifoldswhoseantiholomorphicsectionalcurvatureispointwiseconstant |