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- Title
On the Splitting Tensor of the Weak f -Contact Structure.
- Authors
Rovenski, Vladimir
- Abstract
A weak f-contact structure, introduced in our recent works, generalizes the classical f-contact structure on a smooth manifold, and its characteristic distribution defines a totally geodesic foliation with flat leaves. We find the splitting tensor of this foliation and use it to show positive definiteness of the Jacobi operators in the characteristic directions and to obtain a topological obstruction (including the Adams number) to the existence of weak f-K-contact manifolds, and prove integral formulas for a compact weak f-contact manifold. Based on applications of the weak f-contact structure in Riemannian contact geometry considered in the article, we expect that this structure will also be fruitful in theoretical physics, e.g., in QFT.
- Subjects
JACOBI operators; FOLIATIONS (Mathematics); RIEMANNIAN geometry; GEODESICS
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 6, p1215
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15061215