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Decomposition and minimality of lagrangian submanifolds in nearly Kähler manifolds

✍ Scribed by Lars Schäfer; Knut Smoczyk


Publisher
Springer
Year
2009
Tongue
English
Weight
245 KB
Volume
37
Category
Article
ISSN
0232-704X

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Lagrangian submanifolds in para-Kähler m
✍ Bang-Yen Chen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 329 KB

In this paper we initiate the study of Lagrangian submanifolds in para-Kähler manifolds. In particular, we prove two general optimal inequalities for Lagrangian submanifolds of the flat para-Kähler manifold (E 2n , g, P). Moreover, we completely classify Lagrangian submanifolds which satisfy the equ