Christoffel-Minkowski flows

Paul Bryan; Mohammad N. Ivaki; Julian Scheuer

doi:10.1090/tran/8683

Christoffel-Minkowski flows

Paul Bryan, Mohammad N. Ivaki, Julian Scheuer

School of Mathematical and Physical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2373-2393
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	376
Issue number	4
DOIs	https://doi.org/10.1090/tran/8683
Publication status	Published - 1 Apr 2023

Bibliographical note

Funding Information:
Received by the editors August 8, 2021, and, in revised form, February 17, 2022. 2020 Mathematics Subject Classification. Primary 35K10; Secondary 52A20. Key words and phrases. Christoffel–Minkowski problen, curvature flow. The first author was supported by the ARC within the research grant “Analysis of fully nonlinear 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.

Publisher Copyright:
2023 by the authors.

Keywords

Christoffel–Minkowski problen
curvature flow

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10.1090/tran/8683

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title = "Christoffel-Minkowski flows",

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.",

keywords = "Christoffel–Minkowski problen, curvature flow",

author = "Paul Bryan and Ivaki, {Mohammad N.} and Julian Scheuer",

note = "Funding Information: Received by the editors August 8, 2021, and, in revised form, February 17, 2022. 2020 Mathematics Subject Classification. Primary 35K10; Secondary 52A20. Key words and phrases. Christoffel–Minkowski problen, curvature flow. The first author was supported by the ARC within the research grant “Analysis of fully nonlinear 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. Publisher Copyright: 2023 by the authors.",

year = "2023",

month = apr,

day = "1",

doi = "10.1090/tran/8683",

language = "English",

volume = "376",

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AU - Bryan, Paul

AU - Ivaki, Mohammad N.

AU - Scheuer, Julian

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N2 - 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.

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JF - Transactions of the American Mathematical Society

IS - 4

ER -

Christoffel-Minkowski flows

Abstract

Bibliographical note

Keywords

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