Analytic extensions of the zeta functions for surfaces of variable negative curvature
نویسندگان
چکیده
منابع مشابه
The Circle Problem on Surfaces of Variable Negative Curvature
In this note we study the problem of orbit counting for certain groups of isometries of simply connected surfaces with possibly variable negative curvature. We show that if N(t) denotes the orbit counting function for a convex co-compact group of isometries then for some constants C, h > 0, N(t) ∼ Ceht, as t→ +∞.
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1989
ISSN: 0022-040X
DOI: 10.4310/jdg/1214443068