Bulletin of the Australian Mathematical Society · 2002 · 13 citations · 6 references
Natural SciencesMathematicsGeometryComplex GeometryDifferential GeometryLow-dimensional GeometryProjective GeometryRiemannian GeometryThree-dimensional GeometryComplex Projective GeometryComplex SurfacesLagrangian SubmanifoldsMinimal Surface StructuresMinimal SurfacesSubmanifold TheorySurfaces In Three-dimensional GeometrySurfaces In Three-dimensional Space
In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the reverse construction.
6
Some pinching and classification theorems for minimal submanifolds
Bang‐Yen Chen · Archiv der Mathematik · 1993 · 434 citations
Totally real submanifolds of ?P n satisfying a basic equality
B. Y. Chen, Franki Dillen, Leopold Verstraelen et al. · Archiv der Mathematik · 1994 · 61 citations
B.-Y. Chen, Franki Dillen, Leopold Verstraelen et al. · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1996 · 56 citations