activity
20202025
most citedOn the intermediate dimensions of concentric spheres and related sets

5 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

math.DG2025

Structure of non-solvable cyclic metric Lie algebras

An Huihui, Tan Ju, Yan Zaili

This paper presents a systematic study of the structure of non-solvable cyclic metric Lie algebras. A cyclic metric is a symmetric bilinear form satisfying a cyclic cocycle conditi…

math.DG2023

Cyclic Finser metrics on homogeneous spaces

Ju Tan, Ming Xu

In this paper, we generalize the notion of cyclic metric to homogeneous Finsler geometry. Firstly, we prove that a homogeneous Finsler space must be symmetric when it sa…

math.DG2022

Symmetric space, strongly isotropy irreducibility and equigeodesic properties

Ming Xu, Ju Tan

A smooth curve on a homogeneous manifold is called a Riemannian equigeo-desic if it is a homogeneous geodesic for any -invariant Riemannian metric. The homogeneous manifol…

math.DG2022

Randers and equigeodesics for some compact homogeneous manifolds

Ju Tan, Ming Xu

A smooth curve on is called a Riemannian equigeodesic if it is a homogeneous geodesic for all -invariant Riemannian metrics on . With the -invariant Riemannian met…

math.AG2022

Mirror Symmetry for Quiver Algebroid Stacks

Siu-Cheong Lau, Junzheng Nan, Ju Tan

In this paper, we provide a new construction of quiver algebroid stacks and the associated mirror functors for symplectic manifolds. First, we formulate the concept of a quiver sta…

math.DG2022

Naturally reductive metrics

Ju Tan, Ming Xu

Let be a homogeneous metric on the reductive homogeneous manifold . Firstly, we characterize the natural reductiveness of as a local -product between na…

math.DG2021

Isoparametric hypersurfaces induced by navigation in Lorentz Finsler geometry

Ming Xu, Ju Tan, Na Xu

Using a navigation process with the datum , in which is a Finsler metric and the smooth tangent vector field satisfies everywhere, a Lorentz Finsler met…

math.MG2020★ 5 cited

On the intermediate dimensions of concentric spheres and related sets

Justin T. Tan

The intermediate dimensions are a family of dimensions introduced in 2019 by Falconer, Fraser, and Kempton [arXiv:1811.06493] to interpolate between the Hausdorff dimension and the…