We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
There are no genuine Kähler–Codazzi manifolds.
- Authors
Etayo, Fernando; deFrancisco, Araceli; Santamaría, Rafael
- 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.
- Subjects
COMPLEX manifolds; MANIFOLDS (Mathematics); RIEMANNIAN geometry
- Publication
International Journal of Geometric Methods in Modern Physics, 2020, Vol 17, Issue 3, pN.PAG
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887820500449