Minimal weakly isotropic forms

Minimal Lagrangian isotropic immersions in indefinite complex space forms

Isotropic Lagrangian Submanifolds in Complex Space Forms

In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in . We also give a classification of semi-parallel Lagrangian H-umbilical submanifolds.

On Weakly Eutactic Forms

We make precise some properties of the Hermite function in relation with Morse theory introduced by Avner Ash in his papers [Ash1] and [Ash2] and with the cellular decomposition of the space of positive definite quadratic forms. We also establish a link between Ash’s and Bavard’s mass formulae.

Minimal Cones with Isotropic Links

We show that any closed oriented immersed isotropic minimal surface Σ with genus gΣ in S ⊂ C is (1) Legendrian (and totally geodesic) if gΣ = 0; (2) either Legendrian or with exactly 2gΣ − 2 Legendrian points if gΣ ≥ 1. In general, any compact oriented immersed isotropic minimal submanifold L ⊂ S ⊂ C must be Legendrian if its first Betti number is zero. Corresponding results for nonorientable l...

isotropic lagrangian submanifolds in complex space forms

in this paper we study isotropic lagrangian submanifolds , in complex space forms . it is shown that they are either totally geodesic or minimal in the complex projective space , if . when , they are either totally geodesic or minimal in . we also give a classification of semi-parallel lagrangian h-umbilical submanifolds.