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 1

Search for: All records

Creators/Authors contains: "Phong, Duong H"

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. ; ; ; (, Mathematische Zeitschrift)
    Free, publicly-accessible full text available November 1, 2025
  2. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
    Full Text Available 
  3. ; ; (, Communications in Mathematical Physics)
    Necessary and sufficient conditions are provided for a class of warped product manifolds with non-vanishing flux to be supersymmetric solutions of 11D supergravity. Many non-compact, but complete solutions can be obtained in this manner, including the multi-membrane solution initially found by Duff and Stelle. In a different direction, an explicit 5-parameter moduli space of solutions to 11D supergravity is also constructed which can be viewed as non-supersymmetric deformations of the Duff–Stelle solution. 
    more » « less
    Accepted Manuscript Full Text Available
  4. ; ; (, Mathematische Zeitschrift)
    A one-parameter family of coupled flows depending on a parameter $$\kappa>0$$ is introduced which reduces when $$\kappa=1$$ to the coupled flow of a metric $$\omega$$ with a $(1,1)$-form $$\alpha$$ due recently to Y. Li, Y. Yuan, and Y. Zhang. It is shown in particular that, for $$\kappa\not=1$$, estimates for derivatives of all orders would follow from $C^0$ estimates for $$\omega$$ and $$\alpha$$. Together with the monotonicity of suitably adapted energy functionals, this can be applied to establish the convergence of the flow in some situations, including on Riemann surfaces. Very little is known as yet about the monotonicity and convergence of flows in presence of couplings, and conditions such as $$\kappa\not=1$$ seem new and may be useful in the future. 
    more » « less
    Accepted Manuscript Full Text Available
  5. ; ; (, Communications in analysis and geometry)
    Let (M,g,\phi) be a solution to the Ricci flow coupled with the heat equation for a scalar field \phi. We show that a complete, \kappa-noncollapsed solution (M,g,\phi) to this coupled Ricci flow with a Type I singularity at time T<\infty will converge to a non-trivial Ricci soliton after parabolic rescaling, if the base point is Type I singular. A key ingredient is a version of Perelman pseudo-locality for the coupled Ricci flow. 
    more » « less
    Accepted Manuscript Full Text Available