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Some comparison theorems for Kähler manifolds

✍ Scribed by Luen-Fai Tam; Chengjie Yu


Publisher
Springer
Year
2011
Tongue
English
Weight
184 KB
Volume
137
Category
Article
ISSN
0025-2611

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Some integrability conditions for almost
✍ K.-D. Kirchberg 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Among other results, a compact almost Kähler manifold is proved to be Kähler if the Ricci tensor is semi-negative and its length coincides with that of the star Ricci tensor or if the Ricci tensor is semi-positive and its first order covariant derivatives are Hermitian. Moreover, it is shown that th