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- W1969352783 endingPage "171" @default.
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- W1969352783 abstract "AbstractIn this chapter we will introduce our results on weakly symmetric Finsler spaces. Here is an outline of the main results. We first study the geometric properties of weakly symmetric Finsler spaces and particularly prove that every weakly symmetric Finsler space must have vanishing S-curvature. Then we introduce a new algebraic notion of a weakly symmetric Lie algebra to describe weakly symmetric Finsler spaces. As an application, we obtain a global classification of all the weakly symmetric Finsler spaces with dimension less than or equal to 3. Finally, we classify weakly symmetric spaces with a reductive transitive group of isometries, as well as admissible weakly symmetric metrics on H-type Lie groups. The last section is devoted to constructing examples of non-Berwaldian reversible Finsler spaces with vanishing S-curvature.KeywordsSymmetric SpaceClifford AlgebraFinsler SpaceFinsler MetricsRiemannian CaseThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W1969352783 created "2016-06-24" @default.
- W1969352783 creator A5019329162 @default.
- W1969352783 date "2012-01-01" @default.
- W1969352783 modified "2023-10-12" @default.
- W1969352783 title "Weakly Symmetric Finsler Spaces" @default.
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