3 papers
math.DG2026
A note on Huisken monotonicity-type formula for the mean curvature flow in a gradient shrinking extended Ricci soliton background
José N. V. Gomes, Matheus Hudson, Hikaru Yamamoto
We give an application of a Huisken monotonicity-type formula for the mean curvature flow in a compact smooth manifold with a Riemannian metric that evolves by a shrinking self-sim…
math.DG2026
Gradient estimates for a parabolic partial differential equation under the Ricci-Bourguignon flow
José N. V. Gomes, José N. V. Gomes, Willian I. Tokura +1
We study the Ricci-Bourguignon flow on warped product manifolds with noncompact base. This setting leads naturally to a parabolic partial differential equation on the space of smoo…
math.DG2025
A lower bound for the radius of Weinstein's Lagrangian tubular neighborhood
Hikaru Yamamoto
For an immersed Lagrangian submanifold in a Kähler manifold , there exists a symplectic local diffeomorphism from a tubular neighborhood of the image of the zero section…