On certain Lagrangian submanifolds of S2×S2 and ℂPn
نویسندگان
چکیده
منابع مشابه
Restriction of the Moment Map to Certain Non-lagrangian Submanifolds
Let T × M → M be a Hamiltonian torus action on a connected symplectic manifold M for which the associated moment map Φ : M → t∗ is proper as a map into a convex open set ρ ⊆ t∗. We consider a closed submanifold Q of M and show that under certain local conditions on Q one has Φ(Q) = Φ(M). We apply this result in the special case that Q arises as the fixed point set of some involution σ on M whic...
متن کاملDirac operators on Lagrangian submanifolds
We study a natural Dirac operator on a Lagrangian submanifold of a Kähler manifold. We first show that its square coincides with the Hodge de Rham Laplacian provided the complex structure identifies the Spin structures of the tangent and normal bundles of the submanifold. We then give extrinsic estimates for the eigenvalues of that operator and discuss some examples. Mathematics Subject Classif...
متن کاملLectures on Special Lagrangian Submanifolds
These notes consist of a study of special Lagrangian submanifolds of Calabi-Yau manifolds and their moduli spaces. The particular case of three dimensions, important in string theory, allows us to introduce the notion of gerbes. These offer an appropriate language for describing many significant features of the Strominger-Yau-Zaslow approach to mirror symmetry.
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 کاملLagrangian Submanifolds and Dynamics on Lie Affgebroids
We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe time-dependent Mechanics in terms of this type of structures. Analogous to the autonomous case, we construct the Tulczyjew’s triple associated with a Lie affgebroid and a Hamiltonian section. We describe our theory with several examples.
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: Algebraic & Geometric Topology
سال: 2016
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2016.16.149