SelectedWorks - Franz J Pedit

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Selected Works of Franz J Pedit

Professor, Department of Mathematics and Statistics

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About Franz J Pedit

Present	Professor, Department of Mathematics and Statistics, University of Massachusetts Amherst
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Geometry and Topology

Differential geometry

Department of Mathematics and Statistics
Lederle Graduate Research Tower
University of Massachusetts amherst
Amherst, MA 01003-9305
413-545 0824

Article

Complex surfaces of constant mean curvature fibered by minimal surfaces

HOKKAIDO MATHEMATICAL JOURNAL (2010)

J Dorfmeister, S Kobayashi and F Pedit

We define complex constant mean curvature immersions in complex three space using a natural extension of constant mean curvature immersions ...

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Isothermic submanifolds of symmetric $R$-spaces

Mathematics and Statistics Department Faculty Publication Series (2010)

F Burstall, N Donaldson, F Pedit and U Pinkall

We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to ...

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Article

Discrete holomorphic geometry I. Darboux transformations and spectral curves

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2009)

C Bohle, F Pedit and U Pinkall

Finding appropriate notions of discrete holomorphic maps and, more generally, conformal immersions of discrete Riemann surfaces into 3-space is an ...

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Article

The spectral curve of a quaternionic holomorphic line bundle over ...

MANUSCRIPTA MATHEMATICA (2009)

C Bohle, F Pedit and U Pinkall

A conformal immersion of a 2-torus into the 4-sphere is characterized by an auxiliary Riemann surface, its spectral curve. This ...

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Article

Sequences of willmore surfaces

MATHEMATISCHE ZEITSCHRIFT (2008)

K Leschke and F Pedit

In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under ...

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Other

Conformal maps from a 2-torus to the 4-sphere

Mathematics and Statistics Department Faculty Publication Series (2007)

C Bohle, K Leschke, F Pedit and U Pinkall

We study the space of conformal immersions of a 2-torus into the 4-sphere. The moduli space of generalized Darboux transforms ...

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Article

Envelopes and osculates of Willmore surfaces

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2007)

K Leschke and F Pedit

We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projective space. By constructing enveloping and osculating ...

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Article

Willmore tori in the 4-sphere with nontrivial normal bundle

MATHEMATISCHE ANNALEN (2005)

K Leschke, F Pedit and U Pinkall

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Conformal Geometry of Surfaces in S4 and Quaternions

Mathematics and Statistics Department Faculty Publication Series (2002)

F Burstall, D Ferus, K Leschke, F Pedit, et al.

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Article

SCHWARZIAN DERIVATIVES AND FLOWS OF SURFACES

Differential Geometry and Integrable Systems (2002)

F Burstall, F Pedit and U Pinkall

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Article

Periodic discrete conformal maps

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2001)

U Hertrich-Jeromin, I McIntosh, P Norman and F Pedit

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Article

Quaternionic holomorphic geometry: Plucker formula, Dirac eigenvalue estimates and energy ...

INVENTIONES MATHEMATICAE (2001)

D Ferus, K Leschke, F Pedit and U Pinkall

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Article

Bonnet pairs and isothermic surfaces

DUKE MATHEMATICAL JOURNAL (1998)

G Kamberov, F Pedit and U Pinkall

In this note we classify all Bonnet pairs on a simply connected domain. Our main intent was to apply what ...

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Article

Weierstrass type representation of harmonic maps into symmetric spaces

COMMUNICATIONS IN ANALYSIS AND GEOMETRY (1998)

J Dorfmeister, F Pedit and H Wu

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Article

Curved flats and isothermic surfaces

MATHEMATISCHE ZEITSCHRIFT (1997)

F Burstall, U HertrichJeromin, F Pedit and U Pinkall

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Article

On the meromorphic potential for a harmonic surface in a ...

MANUSCRIPTA MATHEMATICA (1997)

J Dorfmeister, I McIntosh, F Pedit and HY Wu

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Article

Curved flats in symmetric spaces

MANUSCRIPTA MATHEMATICA (1996)

D Ferus and F Pedit

This is the pre-published version harvested from arXiv. The published version is located at http://www.springerlink.com/content/t0j0rt535w428334/

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Article

Isometric immersions of space forms and soliton theory

MATHEMATISCHE ANNALEN (1996)

D Ferus and F Pedit

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Article

DISCRETIZING CONSTANT CURVATURE SURFACES VIA LOOP GROUP FACTORIZATIONS - THE DISCRETE ...

JOURNAL OF GEOMETRY AND PHYSICS (1995)

F Pedit and HY WU

The sine- and sinh-Gordon equations are the harmonic map equations for maps of the (Lorentz) plane into the 2-sphere. Geometrically ...

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Article

Dressing orbits of harmonic maps

DUKE MATHEMATICAL JOURNAL (1995)

FE Burstall and F Pedit

We study the harmonic map equations for maps of a Riemann surface into a Riemannian symmetric space of compact type ...

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Article

MINIMAL-SURFACES AND THE AFFINE TODA FIELD MODEL

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (1995)

J BOLTON, F Pedit and L WOODWARD

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