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- Title
On the degree of geodesic mobility for Riemannian metrics.
- Authors
Kiosak, V.; Matveev, V.; Mikeš, J.; Shandra, I.
- Abstract
The article focuses on Riemannian metrics' degree of geodesic mobility. It states that two metrics g and ḡ having same manifold (M) can be considered geodesically equivalent if metric g geodesic can be parameterized to become ḡ's geodesic. Meanwhile, it mentions that Riemannian space of dimension's (M,g) geodesic mobility can only have the values p = m(m+1)/2+l, wherein the value of m = dimCon(M) while l ranges from 1 to L = [(n+1-m)/3].
- Subjects
GEODESICS; RIEMANNIAN manifolds; G-spaces; NUMERICAL analysis; EQUATIONS
- Publication
Mathematical Notes, 2010, Vol 87, Issue 3/4, p586
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434610030375