Christoffel-Minkowski flows
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- by Paul Bryan, Mohammad N. Ivaki and Julian Scheuer HTML | PDF
- Trans. Amer. Math. Soc. 376 (2023), 2373-2393
Abstract:
We provide a curvature flow approach to the regular Christoffel–Minkowski problem. The speed of our curvature flow is of an entropy preserving type and contains a global term.References
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Additional Information
- Paul Bryan
- Affiliation: Department of Mathematics, Macquarie University, New South Wales 2109, Australia
- Address at time of publication: Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstr. 8-10, 1040 Wien, Austria
- MR Author ID: 914707
- ORCID: 0000-0001-8155-6091
- Email: paul.bryan@mq.edu.au, paul.bryan@mq.edu.au
- Mohammad N. Ivaki
- Affiliation: Department of Mathematics, University of Toronto, Ontario, M5S 2E4, Canada
- Address at time of publication: School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, Wales CF24 4AG, United Kingdom
- MR Author ID: 1006950
- Email: m.ivaki@utoronto.ca, mohammad.ivaki@tuwien.ac.at
- Julian Scheuer
- Affiliation: Department of Mathematics, Columbia University New York, New York 10027
- Address at time of publication: Department of Mathematics, Macquarie University, Sydney, NSW 2109, Australia
- MR Author ID: 1104274
- ORCID: 0000-0003-2664-1896
- Email: jss2291@columbia.edu, scheuerj@cardiff.ac.uk
- Received by editor(s): August 8, 2021
- Received by editor(s) in revised form: February 17, 2022
- Published electronically: January 24, 2023
- Additional Notes: The first author was supported by the ARC within the research grant “Analysis of fully non-linear geometric problems and differential equations”, number DE180100110. The second author was supported by a Jerrold E. Marsden postdoctoral fellowship from the Fields Institute. The third author was supported by the “Deutsche Forschungsgemeinschaft” (DFG, German research foundation) within the research scholarship “Quermassintegral preserving local curvature flows”, grant number SCHE 1879/3-1
- © Copyright 2023 by the authors
- Journal: Trans. Amer. Math. Soc. 376 (2023), 2373-2393
- MSC (2020): Primary 35K10; Secondary 52A20
- DOI: https://doi.org/10.1090/tran/8683
- MathSciNet review: 4557868