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papers

Publications (52)

math.DG2012

Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space

Tim Hoffmann, Wayne Rossman, Takeshi Sasaki +1

math.DG2016

Magnetic geodesics on surfaces with singularities

Volker Branding, Wayne Rossman

math.DG2004

Lower bounds for Morse index of constant mean curvature tori

Wayne Rossman

math.DG2011

CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere

Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3

math.DG2006

Morse index of constant mean curvature tori of revolution in the 3-sphere

Wayne Rossman, Nahid Sultana

dg-ga1997

Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

math.DG2008

Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds

Jun Masamune, Wayne Rossman

math.DG2008

The Morse Index of Wente Tori

Wayne Rossman

math.DG2008

Period problems for mean curvature one surfaces in $H^3$ (with application to surfaces of low total curvature)

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

math.DG2009

Holomorphic Representation of Constant Mean Curvature Surfaces in Minkowski Space: Consequences of Non-Compactness in Loop Group Methods

David Brander, Wayne Rossman, Nick Schmitt

dg-ga1997

A new flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

math.DG2009

New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space

Shoichi Fujimori, Wayne Rossman, Masaaki Umehara +2

math.DG2010

Higher genus mean curvature 1 catenoids in hyperbolic and de Sitter 3-spaces

Shoichi Fujimori, Wayne Rossman

math.DG2004

Singularities of flat fronts in hyperbolic 3-space

Masatoshi Kokubu, Wayne Rossman, Kentaro Saji +2

math.DG2010

Discrete constant mean curvature surfaces via conserved quantities

Wayne Rossman

math.DG2008

Minimal surfaces in $R^3$ with dihedral symmetry

Wayne Rossman

math.DG2008

Minimal surfaces with planar boundary curves

Wayne Rossman

math.DG2009

Embedded, Doubly Periodic Minimal Surfaces

Wayne Rossman, Edward C. Thayer, Meinhard Wohlgemuth

math.DG2008

Constant mean curvature surfaces with two ends in hyperbolic space

Wayne Rossman, Katsunori Sato

math.DG2017

Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularities

Masashi Yasumoto, Wayne Rossman

math.DG2005

The first bifurcation point for Delaunay nodoids

Wayne Rossman

math.DG2008

On embeddedness of area-minimizing disks, and an application to constructing complete minimal surfaces

Wayne Rossman

math.DG2008

Limit Surfaces of Riemann Examples

David Hoffman, Wayne Rossman

math.DG2017

Polynomial Conserved Quantities of Lie Applicable Surfaces

Francis E. Burstall, Udo Hertrich-Jeromin, Mason Pember +1

math.DG2013

Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics

Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh +5

math.DG2008

CMC tori of revolution in $\mathbb{S}^3$: additional data on the spectra of their Jacobi operators

Wayne Rossman, Nahid Sultana

math.DG2010

Lie geometry of flat fronts in hyperbolic space

Francis E. Burstall, Udo Hertrich-Jeromin, Wayne Rossman

math.DG2001

Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II

Masaaki Umehara, Wayne Rossman, Kotaro Yamada

math.DG2016

Zero mean curvature entire graphs of mixed type in Lorentz-Minkowski 3-space

Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3

math.DG2006

Flat fronts in hyperbolic 3-space and their caustics

Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara +1

math.DG2008

On the index of constant mean curvature 1 surfaces in hyperbolic space

Levi Lopes de Lima, Wayne Rossman

math.DG2015

Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space

Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3

math.DG2009

Loop Group Methods for Constant Mean Curvature Surfaces

Shoichi Fujimori, Shimpei Kobayashi, Wayne Rossman

math.DG2009

Asymptotic behavior of flat surfaces in hyperbolic 3-space

Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara +1

math.DG2016

Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms

Wayne Rossman, Masashi Yasumoto

math.DG2008

Minimal Surfaces with Catenoid Ends

Jorgen Berglund, Wayne Rossman

math.DG2013

Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line

Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh +5

math.DG2000

Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature I

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

math.DG2010

Corresponding constant mean curvature surfaces in hyperbolic and Euclidean 3-spaces

Wayne Rossman, Magdalena Toda

math.DG2001

Period problems for mean curvature one surfaces in H^3 (with application to surfaces of low total curvature)

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

math.DG2018

Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space

Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu +3

math.DG2006

A loop group formulation for constant curvature submanifolds of pseudo-Euclidean space

David Brander, Wayne Rossman

math.DG2012

Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids

Wayne Rossman, Masashi Yasumoto

math.DG2017

Characterizing singularities of a surface in Lie sphere geometry

Mason Pember, Wayne Rossman, Kentaro Saji +1

math.DG2008

Lower bounds for index of Wente tori

Levi Lopes de Lima, Vicente Francisco de Sousa Neto, Wayne Rossman

math.DG2010

The tt* structure of the quantum cohomology of CP^1 from the viewpoint of differential geometry

Josef Dorfmeister, Martin Guest, Wayne Rossman

math.DG2009

Spacelike mean curvature one surfaces in de Sitter 3-space

Shoichi Fujimori, Wayne Rossman, Masaaki Umehara +2

math.DG2004

Infinite Periodic Discrete Minimal Surfaces Without Self-Intersections

Wayne Rossman

math.DG2008

Constructing mean curvature 1 surfaces in $H^3$ with irregular ends

Wayne Rossman, Masaaki Umehara, Kotaro Yamada

math.DG2013

Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space

Shoichi Fujimori, Wayne Rossman, Masaaki Umehara +2

math.DG2008

Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space

Wayne Rossman

math.DG2010

Triviality of the dressing isotropy for a Smyth-type potential and nonclosing of the resulting CMC surfaces

Josef F. Dorfmeister, Wayne Rossman