Result: PRINCIPAL CURVATURES OF FIBERS AND HEEGAARD SURFACES
Title:
PRINCIPAL CURVATURES OF FIBERS AND HEEGAARD SURFACES
Authors:
Source:
Pacific journal of mathematics. 250(1):61-66
Publisher Information:
Berkeley, CA: University of California, Department of Mathematics, 2011.
Publication Year:
2011
Physical Description:
print, 3/4 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Variétés et complexes cellulaires, Manifolds and cell complexes, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Borne inférieure, Lower bound, Cota inferior, Borne supérieure, Upper bound, Cota superior, Courbure, Curvature, Curvatura, Fibre, Fiber, Fibra, Injectivité, Injectivity, Inyectividad, Radius, Radio, Valeur absolue, Absolute value, Valor absoluto, 32Q45, 57M27, Surface hyperbolique, Variété 3 dimensions, Three manifold, Variété courbure, Curvature manifold, Variété hyperbolique
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
UNIVERSITY OF MICHIGAN DEPARTMENT OF MATHEMATICS 530 CHURCH STREET, ANN ARBOR, MI 48109-1043, United States
ISSN:
0030-8730
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24147281
Database:
PASCAL Archive
Further Information
We study principal curvatures of fibers and Heegaard surfaces smoothly embedded in hyperbolic 3-manifolds. It is well known that a fiber or a Heegaard surface in a hyperbolic 3-manifold cannot have principal curvatures everywhere less than one in absolute value. We show that given an upper bound on the genus of a minimally embedded fiber or Heegaard surface and a lower bound on the injectivity radius of the hyperbolic 3-manifold, there exists a δ>0 such that the fiber or Heegaard surface must contain a point at which one of the principal curvatures exceeds 1 + δ in absolute value.