The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In this paper, we introduce a one-form Φ associated to a Lagrangian immersion f from Riemann surface M into the complex hyperquadric Q2. It is proved that f is minimal if and only if Φ is vanishing and f is H-minimal if and only if Φ is holomorphic. As an application, a family of S1-equivariant minimal Lagrangian tori in Q2 are obtained.
. Flat Lagrangian minimal surfaces in the Lorentzian complex plane $${\mathbb{C}}^{2}_{1}$$ are classified by B. Y. Chen and L. Vrancken in [8]. On the other hand, Vrancken proves in [11] that Lagrangian minimal surfaces of constant curvature in $${\mathbb{C}}^{2}_{1}$$ are flat surfaces. In this article, we classify all Lagrangian minimal surfaces in $${\mathbb{C}}^{2}_{1}$$ which...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.