1 citations · 2 across the 6 of their papers we have counts for
9 papers
Gradient estimates for a parabolic partial differential equation under the Ricci-Bourguignon flow
José N. V. Gomes, Willian I. Tokura, Hikaru Yamamoto
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…
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…
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…
Infinite-time incompleteness of noncompact Yamabe flow
Jin Takahashi, Hikaru Yamamoto
We show the noninheritance of the completeness of the noncompact Yamabe flow. Our main theorem states the existence of a long time solution which is complete for each time and conv…
Deformation theory of deformed Donaldson-Thomas connections for -manifolds
Kotaro Kawai, Hikaru Yamamoto
A deformed Donaldson-Thomas connection for a manifold with a -structure, which we call a -dDT connection, is a Hermitian connection on a Hermitian lin…
The real Fourier-Mukai transform of Cayley cycles
Kotaro Kawai, Hikaru Yamamoto
The real Fourier-Mukai transform sends a section of a torus fibration to a connection over the total space of the dual torus fibration. By this method, Leung, Yau and Zaslow introd…