Title
|
Super Symplectic Geometry and Lagrangian Sub Manifold
|
Type
|
JournalPaper
|
Keywords
|
Lagrangian sub manifolds, super manifolds
|
Abstract
|
Let (ℳ,𝜔𝜔)be a symplectic manifold. A sub manifold N ⊂ M is called Lagrangian if it is isotropic and there is an isotropic sub bundle 𝑃𝑃 ⊂ 𝑇𝑇𝑇𝑇|𝑁𝑁such that 𝑇𝑇𝑇𝑇|𝑁𝑁 = 𝑇𝑇𝑇𝑇 ⊕ 𝑃𝑃. In this paper we use equivalent definition and we express the relationship between Lagrangian sub manifold and super geometry. Indeed, we investigate the properties of Lagrangian sub manifolds on super geometry.
|
Researchers
|
Maedeh Shaban Nataj (Second Researcher), Abolfazl Behzadi (First Researcher)
|