Projects per year

## Personal profile

### Research interests

My main interests lie in geometric approaches to the study of non-linear equations in Differential Geometry and Theoretical Physics. In particular, I have worked extensively on twistorial and soliton theoretic methods for harmonic maps, isothermic surfaces and related problems in both Riemannian and parabolic geometries.

## Fingerprint Dive into the research topics where Francis Burstall is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 2 Similar Profiles

Conserved Quantity
Mathematics

Harmonic Maps
Mathematics

Submanifolds
Mathematics

Weingarten Surface
Mathematics

Parabolic Geometry
Mathematics

Constant Mean Curvature
Mathematics

Curvilinear Coordinates
Mathematics

Twistors
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2005 2010

- 3 Finished

## Research Output 2009 2019

1
Citation
(Scopus)

### Polynomial conserved quantities of Lie applicable surfaces

Burstall, F., Hertrich-Jeromin, U., Pember, M. & Rossman, W., 31 Mar 2019, In : Manuscripta Mathematica. 158, 3-4, p. 505-546 42 p.Research output: Contribution to journal › Article

Open Access

File

Conserved Quantity

Polynomial

Weingarten Surface

Conformal Geometry

Gauge

### Ribaucour coordinates

Burstall, F., Hertrich-Jeromin, U. & Lara Miro, M., 12 Mar 2019, In : Beitraege zur Algebra und Geometrie. 60, 1Research output: Contribution to journal › Article

Open Access

Submanifolds

Discrete Curvature

Smoothing

High-dimensional

Interpolate

2
Citations
(Scopus)

### Discrete linear Weingarten surfaces

Burstall, F., Hertrich-Jeromin, U. & Rossman, W., 1 Sep 2018, In : Nagoya Mathematical Journal. 231, p. 55-88 14 p.Research output: Contribution to journal › Article

Open Access

File

Weingarten Surface

Constant Mean Curvature

Space Form

Correspondence

Analogue

### Notes on transformations in integrable geometry

Burstall, F., 23 Oct 2017,*Special Metrics and Group Actions in Geometry: SINDAMS, volume 23.*Springer, p. 59-80

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Gauss Curvature

Negative Curvature

Gauge

2
Citations
(Scopus)

### Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics

Burstall, F. E., Hertrich-Jeromin, U. & Suyama, Y., 26 Feb 2016, In : Journal of the Mathematical Society of Japan. 70, 2, p. 617-649 33 p.Research output: Contribution to journal › Article

Curvilinear Coordinates

Conformally Flat

Hypersurface

Curvature

Metric

## Thesis

## Special surface classes

Author: Pember, M., 5 May 2015Supervisor: Burstall, F. (Supervisor)

Student thesis: Doctoral Thesis › PhD

File