Open AccessLichnerowicz-Obata conjecture in dimension two
Author(s) -
Vladimir S. Matveev
Publication year - 2005
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/25
Subject(s) - mathematics , conjecture , dimension (graph theory) , pure mathematics , combinatorics
We prove that if a connected Lie group acts on a connected complete Riemannian surface of nonconstant curvature by diffeomorphisms that take (unparameterised) geodesics to geodesics, then it acts by isometries.
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