Homogeneous Finsler Spaces (Springer Monographs in by Shaoqiang Deng

By Shaoqiang Deng

Homogeneous Finsler areas is the 1st booklet to stress the connection among Lie teams and Finsler geometry, and the 1st to teach the validity in utilizing Lie conception for the research of Finsler geometry difficulties. This publication includes a sequence of latest effects bought through the writer and collaborators over the past decade. the subject of Finsler geometry has constructed speedily in recent times. one of many major purposes for its surge in improvement is its use in lots of medical fields, resembling basic relativity, mathematical biology, and phycology (study of algae).

 This monograph introduces the newest advancements within the research of Lie teams and homogeneous Finsler areas,  leading the reader to instructions for additional improvement. The e-book includes many fascinating effects corresponding to a Finslerian model of  the Myers-Steenrod Theorem, the life theorem for invariant non-Riemannian Finsler metrics on coset areas, the Berwaldian characterization of worldwide symmetric Finsler areas, the development of examples of reversible non-Berwaldian Finsler areas with vanishing S-curvature, and a type of homogeneous Randers areas with isotropic S-curvature and confident flag curvature. Readers with a few historical past in Lie idea or differential geometry can quick commence learning difficulties pertaining to Lie teams and Finsler geometry.​

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