Na Xu Ph.D.
Lecturer
Department of Applied Mathematics
School of Microelectronics &Data Science
Anhui University of Technology
Research Interests
l Complex Finsler geometry, Complex differential equations
l Homogeneous pseudo-Riemannian geometry
Teaching Courses
l Advanced mathematics, Complex variable function
l Complex variable function and integral transformation
Grants
l 202309-202508, Research on invariant vector fields and Einstein metrics on homogeneous Riemannian spaces, The Natural Science Research Fund for Colleges and Universities in Anhui Province (grant no. 2023AH051088)
l 202007-202206, The researches of some problems on Lie groups with left invariant pseudo Riemannian metric, Natural Science Foundation of Anhui Province, 2008085QA03
l 2019.01-202012, The researches of some geometric properties on solvable Lie groups, Youth Foundation of Anhui University of Technology, QZ201819
Selected Publications
1. Na Xu, Ting-Bin Cao and Chun-Ping Zhong, Value distribution of
the q-difference product of entire functions. Electron. J. Differential Equations 2014, No. 233, 10 pp.
2. Ting-Bin Cao, Kai Liu and Na Xu, Zeros and uniqueness of q-difference
polynomials of meromorphic functions with zero order. Proc. Indian Acad. Sci.
Math. Sci. 124 (2014), no. 4, 533–549.
3. Na Xu and Chun-Ping Zhong, Value distribution of some q-difference
polynomials. Bull. Korean Math. Soc. 53 (2016), no. 1, 29–38.
4. Ju Tan and Na Xu, Homogeneous Einstein-Randers metrics on symplectic
groups. J. Math. Anal. Appl. 472 (2019), no. 2, 1902–1913.
5. Na Xu, Zhiqi Chen and Ju Tan, Left invariant pseudo-Riemannian metrics on solvable Lie groups. J. Geom. Phys. 137 (2019), 247–254.
6. Na Xu and Ju Tan, On left-invariant Einstein metrics that are not geodesic orbit. C. R. Math. Acad. Sci. Paris 357 (2019), no. 7, 624–628.
7. Na Xu and Ju Tan, Invariant harmonic unit vector fields on the oscillator groups. Czechoslovak Math. J. 69(144) (2019), no. 4, 907–924.
8. Na Xu and Ju Tan, Harmonicity of vector fields on the oscillator groups with neutral signature. Differential Geom. Appl. 72 (2020), 101662, 14 pp.
9. Na Xu, Equigeodesics on generalized flag manifolds with four isotropy summands Results Math. 78 (2023), no. 3, Paper No. 82, 24 pp.