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Classification of Almost Golden Riemannian Manifolds with Null Trace

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Abstract

Classifications (with respect to both the Levi-Civita and the first canonical connections) of almost Golden Riemannian manifolds with null trace are obtained, expressing them in terms of the tensors defining the structure. Previously, classification (with respect to the first canonical connection) of almost product Riemannian manifolds with null trace is also obtained.

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Authors and Affiliations

  1. Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias Universidad de Cantabria, Avda. de los Castros, s/n, 39071, Santander, Spain

    Fernando Etayo

  2. Departamento de Matemáticas Escuela de Ingenierías Industrial, Informática y Aeroespacial, Universidad de León, Campus de Vegazana, 24071, León, Spain

    Rafael Santamaría

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  1. Fernando Etayo
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  2. Rafael Santamaría
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Correspondence to Fernando Etayo.

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Etayo, F., Santamaría, R. Classification of Almost Golden Riemannian Manifolds with Null Trace. Mediterr. J. Math. 17, 90 (2020). https://doi.org/10.1007/s00009-020-01528-0

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  • DOI: https://doi.org/10.1007/s00009-020-01528-0

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