Fetching the paper…
Reading the bibliography…
Ricci flow deformation of cosmological initial data sets in general relativity is a technique for generating families of initial data sets which potentially would allow to interpolate between distinct spacetimes.
A. Lichnerowicz, Propagateurs et commutateurs en relativit e ´ \acute{e} g e ´ \acute{e} n e ´ \acute{e} rale
1961
Earlier work this paper cites.
R. S. Hamilton, Three–manifolds with positive Ricci curvature
1982
Earlier work this paper cites.
W. P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry
1982
Earlier work this paper cites.
M. Carfora and A. Marzuoli, Smoothing Out Spatially Closed Cosmologies
1984
Earlier work this paper cites.
G.F.R. Ellis, Relativistic cosmology – its nature, aims and problems
1984
Earlier work this paper cites.
D. H. Friedan, Nonlinear models in 2 + ε 2+\varepsilon dimensions
1985
Earlier work this paper cites.
G. Huisken, Ricci deformation of the metric on a Riemannian manifold
1985
Earlier work this paper cites.
J. Lott, Renormalization group flow for general sigma models
1986
Earlier work this paper cites.
M. Carfora, A. Marzuoli, Model geometries in the space of Riemannian structures and Hamilton’s flow
1988
Earlier work this paper cites.
N. Garofalo, E. Lanconelli, Asymptotic Behavior of Fundamental solutions and Potential Theory of Parabolic operators with variable coefficients
1989
Earlier work this paper cites.
N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators
1992
Earlier work this paper cites.
M. Carfora and K. Piotrkowska, Renormalization group approach to relativistic cosmology
1995
Cited alongside, same era.
W. P. Thurston, Three-dimensiional geometry and topology
1997
Cited alongside, same era.
T. Buchert, On average properties of inhomogeneous fluids in general relativity: 2. perfect fluid cosmologies
2001
Cited alongside, same era.
T. Buchert and M. Carfora, Regional averaging and scaling in relativistic cosmology
2002
Cited alongside, same era.
C. Guenther, The fundamental solution on manifolds with time–dependent metrics
2002
Cited alongside, same era.
G. Perelman, The entropy formula for the Ricci flow and its geometric applications
S. R a ¨ \ddot{a} s a ¨ \ddot{a} nen, Dark energy from backreaction
2004
Later among the works it cites.
I. Bakas, Geometric flows and (some of) their physical applications
2005
Later among the works it cites.
G.F.R. Ellis and T. Buchert, The Universe seen at different scales
2005
Later among the works it cites.
E. W. Kolb, S. Matarrese and A. Riotto, On cosmic acceleration without dark energy
2006
Later among the works it cites.
T Oliynyk, V Suneeta, E Woolgar, A Gradient Flow for Worldsheet Nonlinear Sigma Models
2006
Later among the works it cites.
S. R a ¨ \ddot{a} s a ¨ \ddot{a} nen Accelerated expansion from structure formation
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2002
Cited alongside, same era.
I. Bakas, Renormalization group flows and continual Lie algebras
2003
Cited alongside, same era.
T. Buchert and M. Carfora, Cosmological parameters are dressed
2003
Cited alongside, same era.
G. Perelman, Ricci flow with surgery on Three–Manifolds
2003
Cited alongside, same era.
G. Perelman, Finite extinction time for the solutions to the Ricci flow on certain three–manifolds
2003
Cited alongside, same era.
2007
Later among the works it cites.
M. Carfora, The Conjugate Linearized Ricci Flow on Closed 3–Manifolds
2007
Later among the works it cites.
B. Chow, S-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, L. Ni, The Ricci Flow: Techniques and Applications: Part I: Geometric Aspects
2007
Later among the works it cites.
B. Chow, P. Lu, L. Ni, Hamilton’s Ricci Flow
2007
Later among the works it cites.