کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843169 | 908548 | 2008 | 33 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds](/preview/png/843169.png)
A Lagrangian submanifold of a Kaehler manifold is said to be Hamiltonian-stationary (or HH-stationary for short) if it is a critical point of the area functional restricted to compactly supported Hamiltonian variations. In this article, we present some simple relationship between warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds. We completely classify HH-stationary Lagrangian submanifolds in complex space forms arisen from warped product decompositions. More precisely, we prove that there exist two such families of HH-stationary Lagrangian submanifolds in Cn, two families in CPnCPn, and twenty-one families in CHnCHn. As immediate by-product we obtain many new families of Hamiltonian-stationary Lagrangian submanifolds in complex space forms.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 10, 15 November 2008, Pages 3462–3494