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The Sobolev inequalities along the Ricci-Bourguignon flow and applications

Year: 2026

Type: article

Abstract: ‎Consider a closed Riemannian manifold $M$ where the metrics $g(t)$ evolve by the Ricci-Bourguignon flow (RBF)‎.‎The paper first derives a Sobolev inequality along the RBF‎. ‎Then‎, ‎by applying this‎ ‎Sobolev inequality we obtain a linear parabolic estimate and an upper bound estimate for the heat kernel‎ ‎along the RBF‎. ‎Additionally‎, ‎it confidently investigates the $\kappa$-noncollapsing‎ ‎estimates along the RBF‎.

Source: Hacettepe Journal of Mathematics and Statistics

DOI: 10.15672/hujms.1618538

Authors: Mehdi Jafari, Shahroud Azami, U.c. De

Institutions: Payame Noor University, Imam Khomeini International University, University of Calcutta

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7203605489

FWCI:

Cites: 1

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Related to: 10