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7 papers · 2 filters
Symmetric affine surfaces with torsion
Daniela D'Ascanio, Peter Gilkey, Pablo Pisani
We study symmetric affine surfaces which have non-vanishing torsion tensor. We give a complete classification of the local geometries possible if the torsion is assumed parallel. T…
Monotonicity of functionals along conformal Ricci flow
Fengjiang Li, Peng Lu, Jianhong Wang +1
The main purpose of this note is to construct two functionals of the positive solutions to the conjugate heat equation associated to the metrics evolving by the conformal Ricci flo…
Polyharmonic Almost Complex Structures
Weiyong He, Ruiqi Jiang
In this paper we consider the existence and regularity of weakly polyharmonic almost complex structures on a compact almost Hermitian manifold . Such objects satisfy the el…
Positive scalar curvature on simply connected spin pseudomanifolds
Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg
Let be an -dimensional Thom-Mather stratified space of depth . We denote by the singular locus and by the associated link. In this paper we study the problem o…
The harmonic heat flow of almost complex structures
Weiyong He, Bo Li
We define and study the harmonic heat flow for almost complex structures which are compatible with a Riemannian structure . This is a tensor-valued version of harmonic map…
Affine Killing vector fields on homogeneous surfaces with torsion
Daniela D'Ascanio, Peter Gilkey, Pablo Pisani
Many extensions of General Relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing tor…