skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 2

Search for: All records

Creators/Authors contains: "Colding, Tobias Holck"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; (, Advanced Nonlinear Studies)
    We prove sharp lower bounds for eigenvalues of the drift Laplacian for a modified Ricci flow. The modified Ricci flow is a system of coupled equations for a metric and weighted volume that plays an important role in Ricci flow. We will also show that there is a splitting theorem in the case of equality. 
    more » « less
    Full Text Available 
  2. ; (, Advanced Nonlinear Studies)
    Abstract We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for shrinking solitons. 
    more » « less
    Full Text Available 
  3. ; (, Duke Mathematical Journal)
    Full Text Available 
  4. ; (, Journal of Differential Geometry)
    Full Text Available 
  5. ; (, Publications mathématiques de l'IHÉS)
    null (Ed.)
    Full Text Available 
  6. ; (, Notices of the American Mathematical Society)
    Full Text Available 
  7. ; (, Communications on Pure and Applied Mathematics)
    Full Text Available 
  8. ; (, Annales de l'Institut Fourier)
    null (Ed.)
    Full Text Available 
  9. ; (, Calculus of Variations and Partial Differential Equations)
    null (Ed.)
    Full Text Available 
  10. ; (, Communications on Pure and Applied Mathematics)
    Abstract We showed earlier that the level set function of a monotonic advancing front is twice differentiable everywhere with bounded second derivative and satisfies the equation classically. We show here that the second derivative is continuous if and only if the flow has a single singular time where it becomes extinct and the singular set consists of a closedC1manifold with cylindrical singularities. © 2017 Wiley Periodicals, Inc. 
    more » « less
    Full Text Available