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Azami, Shahroud
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Mathematics

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Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces Mohammadi, Mehrad; Azami, Shahroud
Journal of the Indonesian Mathematical Society Volume 26 Number 2 (July 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.2.856.202-212

Abstract

We consider the hyperbolic Ricci-Bourguignon flow(HRBF) equation on Riemannian surfaces and we find a sufficient and necessary condition to this flow has global classical solution. Also, we show that the scalar curvature of the solution metric gij convergence to the flat curvature.
Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces Azami, Shahroud; Mohammadi, Mehrad
Journal of the Indonesian Mathematical Society Volume 26 Number 2 (July 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.2.856.202-212

Abstract

We consider the hyperbolic Ricci-Bourguignon flow(HRBF) equation on Riemannian surfaces and we find a sufficient and necessary condition to this flow has global classical solution. Also, we show that the scalar curvature of the solution metric gij convergence to the flat curvature.
First Eigenvalue of p-Laplacian Along The Normalized Ricci Flow on Bianchi Classes Habibi Vosta Kolaei, Mohammad Javad; Azami, Shahroud
Journal of the Indonesian Mathematical Society VOLUME 26 NUMBER 3 (NOVEMBER 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.3.934.380-392

Abstract

Consider M as a 3-homogeneous manifold. In this paper, we are going to study the behavior of the first eigenvalue of p-Laplace operator in a case of Bianchi classes along the normalized Ricci flow also we will give some upper and lower bounds for a such eigenvalue.
Co-Authors Habibi Vosta Kolaei, Mohammad Javad Mohammadi, Mehrad