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Equivariant CR Yamabe problem
As a generalization of the Yamabe problem, Hebey and Vaugon considered the equivariant Yamabe problem: for a subgroup G of the isometry group, find a G ...
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Yamabe Solitons
This chapter starts with Yamabe problem, and then describes the Yamabe flow and Yamabe solitons. Finally, it provides characterizations of Yamabe...
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Quasi-Yamabe and Yamabe Solitons on Hypersurfaces of Nearly Kähler Manifolds
We establish that if the soliton vector field is the Reeb vector field, then a hypersurface of a nearly Kähler manifold is a quasi-Yamabe soliton if...
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Yamabe problem in the presence of singular Riemannian Foliations
Using variational methods together with symmetries given by singular Riemannian foliations with positive dimensional leaves, we prove the existence...
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Remarks on Gradient Yamabe Solitons
This note studies gradient Yamabe solitons realised as warped metrics. First, we prove that the potential function and the scalar curvature depend...
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Equivariant Yamabe problem with boundary
As a generalization of the Yamabe problem, Hebey and Vaugon considered the equivariant Yamabe problem: for a subgroup G of the isometry group, find a G ...
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Conformal geometry of complete quasi Yamabe gradient solitons
The purpose of this work is to study the conformal geometry of complete quasi Yamabe gradient solitons, which correspond to an interesting...
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A Prescribed Scalar and Boundary Mean Curvature Problem and the Yamabe Classification on Asymptotically Euclidean Manifolds with Inner Boundary
We consider the problem of finding a metric in a given conformal class with prescribed non-positive scalar curvature and non-positive boundary mean...
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Weighted Yamabe Solitons
In this paper, we first prove a Kazdan–Warner type identity for the problem of prescribing weighted scalar curvature. We then study weighted Yamabe...
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Generalized Yamabe solitons on hypersurfaces in pseudo–Euclidean spaces
In this paper, we obtain a classification theorem for generalized Yamabe solitons, called conformal solitons, on pseudo–Riemannian hypersurfaces in...
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Yamabe solitons with boundary
Yamabe soliton is a self-similar solution to the Yamabe flow on manifolds without boundary. In this paper, we define and study the Yamabe soliton...
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On the Curvature of the Bismut Connection: Bismut–Yamabe Problem and Calabi–Yau with Torsion Metrics
We study two natural problems concerning the scalar and the Ricci curvatures of the Bismut connection. Firstly, we study an analog of the Yamabe...
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A Dual Yamabe Flow and Related Integral Flows
The author studies a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS...
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A Note on the Weighted Yamabe Flow
For two dimensional surfaces (smooth) Ricci and Yamabe flows are equivalent. In 2003, Chow and Luo developed the theory of combinatorial Ricci flow...
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Almost Yamabe Solitons on a Total Space of Almost Hermitian Submersions
This article presents the study of almost Hermitian submersion from an almost Yamabe soliton onto an almost Hermitian manifold. A non-trivial example...
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Porous-Media Flow and Yamabe Flow on Complete Manifolds
In this paper, we discuss the recent progress about the (sigma-) porous-media flow and Yamabe flow on the whole space or on a complete Riemannian...
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Normalized Yamabe flow on manifolds with bounded geometry
The goal of this paper is to study Yamabe flow on a complete Riemannian manifold of bounded geometry with possibly infinite volume. In case of...
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Smooth Yamabe invariant with boundary
In this paper, we study the smooth Yamabe invariant with boundary, which is defined to be the supremum of all the Yamabe constants on a manifold with...
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Discrete Yamabe Problem for Polyhedral Surfaces
We study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical...
