Special Lagrangian Submanifolds and Cohomogeneity One Actions on the Complex Projective Space
نویسندگان
چکیده
منابع مشابه
Willmore Lagrangian Submanifolds in Complex Projective Space
Let M be an n -dimensional compact Willmore Lagrangian submanifold in a complex projective space CPn and let S and H be the squared norm of the second fundamental form and the mean curvature of M . Denote by ρ2 = S−nH2 the non-negative function on M , K and Q the functions which assign to each point of M the infimum of the sectional curvature and Ricci curvature at the point. We prove some inte...
متن کاملIsotropic 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.
متن کاملSpecial Lagrangian submanifolds and Algebraic Complexity one Torus Actions
In the first part of this paper we consider compact algebraic manifolds M with an algebraic (n − 1)-Torus action. We show that there is a T -invariant meromorphic section σ of the canonical bundle of M . Any such σ defines a divisor D. On the complement M ′ = M −D we have a trivialization of the canonical bundle and a T -action. If H(M ′,R) = 0 then results of [2] show that there is a Special L...
متن کاملRuled Minimal Lagrangian Submanifolds of Complex Projective 3-space
We show how a ruled minimal Lagrangian submanifold of complex projective 3-space may be used to construct two related minimal surfaces in the 5-sphere.
متن کاملisotropic 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2019
ISSN: 0387-3870
DOI: 10.3836/tjm/1502179289