Randers metrics with special curvature properties
By Xinyue Chen, Zhongmin Shen. 2003
111 citations recorded by the source corpus.
Subfields: Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/4f086c07a73bda9f43c852fff78e2667241913c7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- Zhongmin Shen
- C. Robles
- Xinyue Cheng
- David Bao
- Hao Xing
- Shin-ichi Ohta
- H. Rademacher
- Steen Markvorsen
Citations in the corpus
- On Some Non-Riemannian Quantities in Finsler Geometry (2013, unknown): “1 ([5]) For a Randers metric F = α + β, the following are equivalent: (i) S = (n + 1)cF; (ii) e00 = 2c(α 2 − β(2)).”
- A class of Finsler metrics with isotropic S-curvature (2009, background): “In [5], we prove that the Randers metric F = α+β has isotropic S-curvature, S = (n+1)c(x)F , if and only if rij + bisj + bjsi = 2c(aij − bibj).”
- Two-dimensional Finsler metrics with constant flag curvature (2002, background): “where e00 := eij y i y j , s0 := siy i , s i 0 := s i j y j and ¯ G i denote the geodesic coefficients of α. See [AIM]. According to Lemma 3.1 in [ ChSh ],”
- RANDERS METRICS OF SCALAR FLAG CURVATURE (2009, background): “[5] Randers metrics of scalar flag curvature 363”
- On Randers metrics with isotropic S-curvature (2008, background): “covariant derivative of β with respect to α [ 8 ].”
- Zermelo navigation on Riemannian manifolds (2003, result): “The Basic equation alone is equivalent to the statement that the Scurvature (divided by F ) has the constant value 14σ(n + 1); see [16].”