A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem (Q5047934)

scientific article; zbMATH DE number 7618842

Language	Label	Description	Also known as
English	A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem	scientific article; zbMATH DE number 7618842

Statements

instance of

scholarly article

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title

A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem (English)

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Transactions of the American Mathematical Society

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publication date

17 November 2022

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full work available at URL

https://arxiv.org/abs/2203.02165

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zbMATH Keywords

expanding flow

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blow up

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support function

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radial function

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$L^p$ dual Christoffel-Minkowski problem

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MaRDI profile type

MaRDI publication profile

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cites work

Q5837690

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Contraction of convex hypersurfaces in Euclidean space

0 references

Contraction of convex hypersurfaces by their affine normal

0 references

Gauss curvature flow: The fate of the rolling stones

0 references

Q4378036

0 references

Pinching estimates and motion of hypersurfaces by curvature functions

0 references

Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature

0 references

Contracting convex hypersurfaces by curvature

0 references

Q5571862

0 references

Q4454203

0 references

The $L_{p}$ dual Minkowski problem for $p$ 1 and $q$ 0

0 references

Asymptotic behavior of flows by powers of the Gaussian curvature

0 references

A unified flow approach to smooth, even $L_p$-Minkowski problems

0 references

Parabolic approaches to curvature equations

0 references

Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen

0 references

Deforming convex hypersurfaces by the $n$th root of the Gaussian curvature

0 references

Deforming convex hypersurfaces by the square root of the scalar curvature

0 references

Aleksandrov reflection and nonlinear evolution equations. I: The $n$-sphere and $n$-ball

0 references

Smooth solutions to the $L_p$ dual Minkowski problem

0 references

Variations of a class of Monge-Ampère-type functionals and their applications

0 references

The $L_p$ dual Minkowski problem and related parabolic flows

0 references

The $L_p$-Minkowski problem and the Minkowski problem in centroaffine geometry

0 references

A class of curvature flows expanded by support function and curvature function

0 references

A class of curvature flows expanded by support function and curvature function in the Euclidean space and hyperbolic space

0 references

Immersed hypersurfaces with constant Weingarten curvature

0 references

$p$-Means of Convex Bodies.

0 references

Shapes of worn stones

0 references

The determination of convex bodies from their mean radius of curvature functions

0 references

Curvature flows in the sphere

0 references

Q3430848

0 references

Flow of nonconvex hypersurfaces into spheres

0 references

Inverse curvature flows in hyperbolic space

0 references

Non-scale-invariant inverse curvature flows in Euclidean space

0 references

A Mean Curvature Type Flow in Space Forms

0 references

The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation

0 references

$L^p$ Christoffel-Minkowski problem: the case $1< p<k+1$

0 references

On the Christoffel-Minkowski problem of Firey's $p$-sum

0 references

Flow by mean curvature of convex surfaces into spheres

0 references

Convexity estimates for mean curvature flow and singularities of mean convex surfaces

0 references

A class of inverse curvature flows in $\mathbb{R}^{n+1}$, II

0 references

Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems

0 references

The $L_p$-Aleksandrov problem for $L_p$-integral curvature

0 references

On the $L_p$ dual Minkowski problem

0 references

Volume preserving centro-affine normal flows

0 references

Deforming a hypersurface by Gauss curvature and support function

0 references

Deforming a hypersurface by principal radii of curvature and support function

0 references

Starshaped compact hypersurfaces with prescribed $k$-th mean curvature in hyperbolic space

0 references

Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature

0 references

Q3755824

0 references

Q5829990

0 references

A flow method for a generalization of $L_p$ Christofell-Minkowski problem

0 references

Surfaces expanding by non-concave curvature functions

0 references

Surfaces expanding by the power of the Gauss curvature flow

0 references

Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

0 references

The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem

0 references

The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas

0 references

On the regularity of solutions to a generalization of the Minkowski problem

0 references

$L_{p}$ dual curvature measures

0 references

Gradient estimates for inverse curvature flows in hyperbolic space

0 references

Locally constrained inverse curvature flows

0 references

Non-scale-invariant inverse curvature flows in hyperbolic space

0 references

Pinching and asymptotical roundness for inverse curvature flows in Euclidean space

0 references

Convex Bodies The Brunn-MinkowskiTheory

0 references

Surfaces expanding by the inverse Gauß curvature flow

0 references

A class of anisotropic expanding curvature flows

0 references

An expansion of convex hypersurfaces

0 references

On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures

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Identifiers

DOI

10.1090/tran/8793

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5047934