Filomat 2022 Volume 36, Issue 5, Pages: 1663-1674
https://doi.org/10.2298/FIL2205663S
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Generalized symplectic Golden manifolds and Lie Groupoids
Şahin Fulya (Ege University, Department of Mathematics, İzmir, Turkey), fulya.sahin@ege.edu.tr
By considering the notion of Golden manifold and natural symplectic form on a
generalized tangent bundle, we introduce generalized symplectic Golden
structures on manifolds and obtain integrability conditions in terms of
bivector fields, 2-forms, 1-forms and endomorphisms on manifolds and
investigate isotropic subbundles. We also find certain relations between the
integrability conditions of generalized symplectic Golden manifolds and Lie
Groupoids which are important in mechanics as configuration space.
Keywords: Lie Groupoid, Lie Algebroid, Golden Manifold, Almost Generalized Golden Manifold, Generalized Symplectic Golden manifold
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