So I have been studying curvature shortening flows, and I was curious if there were some variants of Huisken's distance comparison principle for Mean curvature flows or even the Ricci flow. It seems that there could be some analogous constructions for these flows, but I am not aware of any. I would appreciate it if someone could give me some suggestions of papers to look at. Thanks.
2025-01-13 08:01:57.1736755317
Huisken's Distance Comparison principle for Ricci flow
79 Views Asked by Enigma https://math.techqa.club/user/enigma/detail AtRelated Questions in DIFFERENTIAL-GEOMETRY
- Are Christoffel symbols invariant under reparameterization of the curve?
- Tangent bundle equivalence not a pushforward
- Find the interior product of a basic p-form $\alpha = dx_1 \wedge dx_2 \wedge \ldots \wedge dx_p$ and a vector field $X$
- Showing Hofer's metric is bi-invariant
- What does it mean to 'preserve the first fundamental form'?
- proving a given curve is a geodesic
- Find the area of a double lune
- Commuting Covariant Derivatives in Derivation of First Variation Formula
- Every diffeomorphism which is an isometry is also conformal
- How do I make sense of terms $X^j\partial_j(Y^i)$ in the Lie bracket of vector fields?
Related Questions in RIEMANNIAN-GEOMETRY
- Are Christoffel symbols invariant under reparameterization of the curve?
- proving a given curve is a geodesic
- Commuting Covariant Derivatives in Derivation of First Variation Formula
- starry regular icosahedron
- How to compute that $\mathcal{L}_Vg_{ij}=g_{ik}\nabla_jV^k+g_{jk}\nabla_iV^k$
- Sign of Riemannian and application of commutating formula .
- Definition of Riemannian Metric
- The linearization of a system and the derivative of operator.
- Compute of metric and curvature under transformation of coordinates.
- proving a particular subset of a Riemannian manifold is closed using continuity
Related Questions in RICCI-FLOW
- Sign of Riemannian and application of commutating formula .
- The linearization of a system and the derivative of operator.
- Compute of metric and curvature under transformation of coordinates.
- Shrink and expand of homothetic gradient Ricci soliton
- Why $\Delta f-|\nabla f|^2 =0$ ,$f$ is a function on compact manifold.
- Coefficients of connection under diffeomorphism and metric change.
- Compute $\partial_t \Gamma_{ij}^k$ under Ricci flow.
- Why the $\partial_t(\Gamma_{ip}^k \Gamma_{jl}^p -\Gamma_{jp}^k\Gamma_{il}^p)$ vanish?
- Exchange formula of 2-form or n-form
- Show that $\partial_t g^{jl}=-g^{jp}(\partial_tg_{pq})g^{ql}$
Related Questions in MEAN-CURVATURE-FLOWS
- Are completeness or properness preserved by mean curvature flows?
- Proof from "An isoperimetric inequality with applications to curve shortening" by Gage
- What is "generic"?
- Intuitive understanding into the mean curvature flow
- Smoothness of solutions of the curve shortening flow given bounded curvature
- Mean curvature flow - initial condition - mean-convex
- For a minimal surface $M$ under Mean Curvature Flow, can it evolve between minimal surfaces continually?
- Proposition $3.4$ of Mean curvature flow with surgeries of two–convex hypersurfaces
- Is there a theorem in Differential Geometry for surfaces can be deformed without stretching?
- Building a numerical simulation of curvature flows. Where to start?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity