Rigidity of three measure classes on the ideal boundary of mainifolds with negative curvature
On the ideal boundary, ∂M, of the universal covering of M of a negatively curved closed Riemannian manifold M, there exist three natural measure classes: the harmonic measure class {v_x}_(x∈M), the Lebesgue measure class {m_x}_(x∈M), the Bowen-Margulis measure class {u_x}_(x∈M). A famous conject...
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https://thesis.library.caltech.edu/6300/1/Yue_c_1991.pdfYue, Chengbo (1991) Rigidity of three measure classes on the ideal boundary of mainifolds with negative curvature. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4wkq-q530. https://resolver.caltech.edu/CaltechTHESIS:04112011-144739148 <https://resolver.caltech.edu/CaltechTHESIS:04112011-144739148>