On sprays with vanishing χ-curvature
نویسندگان
چکیده
Every Riemannian metric or Finsler on a manifold induces spray via its geodesics. In this paper, we discuss several expressions for the [Formula: see text]-curvature of spray. We show that sprays obtained by projective deformation using S-curvature always have vanishing text]-curvature. Then establish Beltrami Theorem with text].
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2021
ISSN: ['1793-6519', '0129-167X']
DOI: https://doi.org/10.1142/s0129167x21500695