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math.DG2026
Inequalities for 4-Manifolds with Ends using Fibered boundary metric and Seiberg-Witten Equations
Shyamal Kumar Hui, Chandan Kumar Adak
We deduce a new inequality using the Hitchin-Thorpe inequality for noncompact complete four-dimensional manifolds with fibered geometry at infinity and Seiberg-Witten gauge-theoret…
math.DG2024
Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds
Yanlin Li, Abimbola Abolarinwa, Suraj Ghosh +1
In this article we derive gradient estimation for positive solution of the equation \begin{equation*} (\partial_t-Δ_f)u = A(u)p(x,t) + B(u)q(x,t) + \mathcal{G}(u) \end{equation*} o…