Generalized complex and paracomplex structures on product manifolds

Fernández-Culma, Edison Alberto; Godoy, Yamile; Salvai, Marcos

doi:10.1007/s13398-020-00887-3

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2022

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“…Both generalized complex and paracomplex structures have been analysed since then (e.g. [7]), focusing in specific examples and using different points of view. For example, there are multiple generalized complex and paracomplex structures that can be induced using geometric structures defined on a manifold M.…”

Section: Introductionmentioning

confidence: 99%

Metric polynomial structures on generalized geometry

Etayo¹,

Gómez-Nicolás²,

Santamaría³

2022

Preprint

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In this document, we study the interaction between different geometric structures that can be defined as morphisms of sections of the generalized tangent bundle TM := T M ⊕ T * M → M. In particular, we show the behaviour of various generalized polynomial structures with respect to different metrics on TM, in the frame of (α,ε)-metric structures; and the commutation or anti-commutation of generalized polynomial structures, forming triple structures.

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Section: Introductionmentioning

confidence: 99%