There are no genuine Kähler–Codazzi manifolds-Reference-Cited by-同舟云学术

There are no genuine Kähler–Codazzi manifolds

Published:2020-02-14 Issue:03 Volume:17 Page:2050044
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Etayo Fernando¹,deFrancisco Araceli²,Santamaría Rafael²

Affiliation:

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

2. Departamento de Matemáticas, Universidad de León, Campus de Vegazana, León 24071, Spain

Abstract

Nearly Kähler- and Kähler–Codazzi-type manifolds are defined in a very similar way. We prove that nearly Kähler-type manifolds make sense only in Hermitian and para-Hermitian contexts, and that Kähler–Codazzi-type manifolds reduce to Kähler-type manifolds in all the four Hermitian, para-Hermitian, Norden and product Riemannian geometries. Kähler–Codazzi condition is also studied on almost complex golden manifolds.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887820500449

Reference14 articles.

1. The sixteen classes of almost Hermitian manifolds and their linear invariants

2. Nearly Kähler manifolds

3. A Survey on Paracomplex Geometry

4. Interaction of Codazzi Couplings with (Para-)Kähler Geometry

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