Geodesic
Generalized symplectic Golden manifolds and lie groupoids
Filomat, Tome 36 (2022) no. 5, p. 1663

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DOI

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.
DOI : 10.2298/FIL2205663S
Classification : 22A22, 53D17, 53D18
Keywords: Lie Groupoid, Lie Algebroid, Golden Manifold, Almost Generalized Golden Manifold, Generalized Symplectic Golden manifold 
Fulya Şahin. Generalized symplectic Golden manifolds and lie groupoids. Filomat, Tome 36 (2022) no. 5, p. 1663 . doi: 10.2298/FIL2205663S
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     title = {Generalized symplectic {Golden} manifolds and lie groupoids},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205663S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205663S/}
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