Results 61 to 70 of about 420 (130)
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
On warped product gradient η-Ricci solitons
Filomat, 2017 If the potential vector field of an ?-Ricci soliton is of gradient type, using Bochner formula, we derive from the soliton equation a nonlinear second order PDE. In a particular case of irrotational potential vector field we prove that the soliton is completely determined by f .
openaire +4 more sources
Gradient pseudo‐Ricci solitons of real hypersurfaces
Mathematische Nachrichten, 2023 AbstractLet M be a real hypersurface of a complex space form , . Suppose that the structure vector field ξ of M is an eigen vector field of the Ricci tensor S, , β being a function. We study on M, a gradient pseudo‐Ricci soliton () that is an extended concept of gradient Ricci soliton, closely related to pseudo‐Einstein real hypersurfaces.
openaire +3 more sources
On the Classification of Gradient Ricci Solitons
, 2008 We show that the only complete shrinking gradient Ricci solitons with vanishing Weyl tensor are quotients of the standard ones. This gives a new proof of the Hamilton-Ivey-Perel\u27man classification of 3-dimensional shrinking gradient solitons.
Wylie, William, Petersen, Peter
core +1 more source
Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds
, 2022 In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim +3 more
core +1 more source
$$\eta$$-$$*$$-Ricci solitons and paracontact geometry
, 2023 In this paper, we classify ?-*-Ricci solitons in paracontact geometry. In particular, we characterize (2n + 1)-dimensional para-Kenmotsu manifolds having an ?-*-Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient ?-*-Ricci ...
Uday Chand De +5 more
core +1 more source
Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
, 2023 In this paper, we investigate the geometry of 4-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature (half PIC) or half nonnegative isotropic curvature.
Xie, Junming, Cao, Huai-Dong
core +2 more sources
Bach-flat gradient steady Ricci solitons
, 2011 In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton.
Chen, Qiang +4 more
core +1 more source
Ricci solitons on manifolds and submanifolds
, 2022 Bir derleme olarak hazırlanan bu yüksek lisans tezi beş bölümden oluşmaktadır. Birinci bölümde Riemann manifoldlar üzerinde Ricci solitonlarla ilgili literatür bilgisi verildi.
Tanşu, İbrahim Halil
core
O(2)-symmetry of 3D steady gradient Ricci solitons
, 2023 For any 3D steady gradient Ricci soliton with positive curvature, we prove that it must be isometric to the Bryant soliton if it is asymptotic to a ray. Otherwise, it is asymptotic to a sector and hence a flying wing. We show that all 3D flying wings are
Lai, Yi
core +1 more source