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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)