Matthew E. White
Research Subjects
Matthew E. White has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Daryl Cooper
Department of Mathematics, University of California Santa Barbara, Santa Barbara, California 93106
2 shared publications - David Bachman
California Polytechnic State University
2 shared publications
Latest Publications
- Open Access
Large embedded balls and Heegaard genus in negative curvature
We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g >= 1/2 cosh(r) where r denotes the radius of any isometrically embedded ball in M. Assuming an unpublished result of Pitts and Rubinstein improves this to g >= 1/2 cosh(r) + 1/2. We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperimetric surfaces in hyperbolic balls.
Open AccessLarge embedded balls and Heegaard genus in negative curvature
We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g >= 1/2 cosh(r) where r denotes the radius of any isometrically embedded ball in M. Assuming an unpublished result of Pitts and Rubinstein improves this to g >= 1/2 cosh(r) + 1/2. We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperimetric surfaces in hyperbolic balls.
- 24 January 2004
- Published by Mathematical Sciences Publishers in Algebraic & Geometric Topology
- Vol. 4 (1) , 31-47
Large embedded balls and Heegaard genus in negative curvature
We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g >= 1/2 cosh(r) where r denotes the radius of any isometrically embedded ball in M. Assuming an unpublished result of Pitts and Rubinstein improves this to g >= 1/2 cosh(r) + 1/2. We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperimetric surfaces in hyperbolic balls.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-3.abs.htm
- 24 January 2004
- Published by Mathematical Sciences Publishers in Algebraic & Geometric Topology
- Vol. 4 (1) , 31-47
Large embedded balls and Heegaard genus in negative curvature
We show if M is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus g then g >= 1/2 cosh(r) where r denotes the radius of any isometrically embedded ball in M. Assuming an unpublished result of Pitts and Rubinstein improves this to g >= 1/2 cosh(r) + 1/2. We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperimetric surfaces in hyperbolic balls.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-3.abs.htm