Year: 2025
Type: article
Abstract: In this paper, we study the isoparametric hypersurfaces in a class of conic Kropina manifolds. For a conic Kropina metric F(x, y) on a manifold M with navigation data (h, W), and a vector field V with $$F(x,-V)=1$$ , let $$\tilde{F}=\tilde{F}(x, y)$$ be the solution of navigation data (F, V). By studying the principal curvatures of anisotropic submanifolds in Kropina space $$(M, \tilde{F})$$ with the navigation data (h, W), we find that Kropina space $$(M, \tilde{F}, d\mu _{BH})$$ and the corresponding Riemannian space (M, h) have the same isoparametric hypersurfaces. Moreover, we give a complete classification of isoparametric hypersurfaces in Kropina space $$(M, \tilde{F}, d\mu _{BH})$$ with constant flag curvature.
Author: Peilong Dong
Institution: Zhengzhou Normal University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $1,490
Award: G2107727302
OpenAlex ID: W4415360515