ScholarLens Back to search
1999•The Michigan Mathematical JournalOpen access

On a minimal Lagrangian submanifold of Cn foliated by spheres.

Ildefonso Castro, Francisco Urbano

Open full text 46 citations

Abstract

In this paper, we study a minimal Lagrangian submanifold of C n defined by Harvey and Lawson, which we will call the Lagrangian catenoid because we characterize it locally proving that, besides the Lagrangian subspaces, it is the only minimal Lagrangian submanifold foliated by round (n � 1)-spheres of C n . Also we obtain a global characterization of it among the n-dimensional complete minimal submanifolds of C n with finite total scalar curvature.

Open-access reader

About this research paper

What this paper is about

In this paper, we study a minimal Lagrangian submanifold of C n defined by Harvey and Lawson, which we will call the Lagrangian catenoid because we characterize it locally proving that, besides the Lagrangian subspaces, it is the only minimal Lagrangian submanifold foliated by round (n � 1)-spheres of C n . Also we obtain a global characterization of it among the n-dimensional complete minimal submanifolds of C n with finite total scalar curvature.

Why it matters

OpenAlex reports 46 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, we study a minimal Lagrangian submanifold of C n defined by Harvey and Lawson, which we will call the Lagrangian catenoid because we characterize it locally proving that, besides the Lagrangian subspaces, it is the only minimal Lagrangian submanifold foliated by round (n � 1)-spheres of C n . Also we obtain a global characterization of it among the n-dimensional complete minimal submanifolds of C n with finite total scalar curvature.

Key concepts: Submanifold, Lagrangian, SPHERES, Mathematics, Pure mathematics, Mathematical analysis, Physics, Astronomy

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
On a minimal Lagrangian submanifold of Cn foliated by spheres. — Research Paper | ScholarLens