A Riemannian four vertex theorem for surfaces with boundary

, i.e., local extrema of geodesic curvature on a connected component of \partial M is simply connected. Indeed, when M with only two critical points of geodesic curvature on each component of \partial M]]>

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2011-01, Vol.139 (1), p.293-303
Main Author: GHOMI, MOHAMMAD
Format: Article
Language:English
Subjects:
Closed curves
Critical points
Curvature
Differential geometry
Exact sciences and technology
Flat surfaces
General mathematics
General, history and biography
Geometry
Global analysis, analysis on manifolds
Mathematical analysis
Mathematical constants
Mathematical surfaces
Mathematical theorems
Mathematics
Partial differential equations
Sciences and techniques of general use
Topological theorems
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Vertices
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Description
Summary:, i.e., local extrema of geodesic curvature on a connected component of \partial M is simply connected. Indeed, when M with only two critical points of geodesic curvature on each component of \partial M]]>
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2010-10507-5