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Almost (para-) contact metric (κ,μ)-manifolds. Part 1: Riemannian

2019/09/02 by Piotr Dacko, Dacko, Piotr
Biochemistry, Genetics and Molecular Biology · Mathematics · #53C15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Myofascial pain diagnosis and treatment

paper · pdf · doi:10.48550/arxiv.1909.00797

openalex publication_date 2019/09/02 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

The author is planning if possible classify all three-dimensional (κ,μ)-manifolds wether contact metric, almost cosymplectic, para-contact metric, almost para-cosymplectic. Of course classification in contact or almost cosymplectic cases already is provdied. Up to authors knowledge there is no classification for para-contact or almost para-cosymplectic (κ,μ). Conjecture is described by the author in coming paper structures provide classification. The main goal however is to show that these three dimensional manifolds are essentially building blocks of higher-dimensional manifolds. The other possiibilty is to introduce class of manifolds which contain both almost contact metric and almost para-contact metric manifolds as proper subclasses.

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