We discuss some aspects of the global behavior of surfaces in H^2xR with constant mean curvature H ( known as H-surfaces). We prove a maximum principle at infinity for complete properly embedded H-surfaces with H > 1/sqrt(2), and show that the genus of a compact stable H-surface with H > 1/sqrt(2) is at most three.
Global Properties of Constant Mean Curvature Surfaces in H^2xR
NELLI, BARBARA;
2006-01-01
Abstract
We discuss some aspects of the global behavior of surfaces in H^2xR with constant mean curvature H ( known as H-surfaces). We prove a maximum principle at infinity for complete properly embedded H-surfaces with H > 1/sqrt(2), and show that the genus of a compact stable H-surface with H > 1/sqrt(2) is at most three.File in questo prodotto:
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