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20242026
most citedGradient Einstein-type warped products: rigidity, existence and nonexistence results via a nonlinear PDE

2 citations · 2 across the 4 of their papers we have counts for

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math.DG2024

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.DG2024★ 2 cited

Gradient Einstein-type warped products: rigidity, existence and nonexistence results via a nonlinear PDE

José Nazareno Vieira Gomes, Willian Isao Tokura

We establish the necessary and sufficient conditions for constructing gradient Einstein-type warped metrics. One of these conditions leads us to a general Lichnerowicz equation wit…