Results 161 to 170 of about 4,659,666 (289)
Ricci Flow of Compact Locally Homogeneous Geometries on 5-Manifolds [PDF]
arXiv, 2017 This project serves to analyze the behavior of Ricci Flow in five dimensional manifolds. Ricci Flow was introduced by Richard Hamilton in 1982 and was an essential tool in proving the Geometrization and Poincare Conjectures. In general, Ricci Flow is a nonlinear PDE whose solutions are rather difficult to calculate; however, in a homogeneous manifold ...
arxiv
Journal of Anatomy, EarlyView.This study introduces a workflow using the Liverpool‐Whitwell embalming protocol and photogrammetry to create realistic 3D digital models from veterinary specimens. These models, enhanced with digital tools and stored in a cloud repository, are integrated into the University of Liverpool's Virtual Learning Environment, offering remote access to high ...
Zeeshan Durrani +5 more
wiley +1 more source
Positivity of Ricci curvature under the Kähler--Ricci flow [PDF]
arXiv, 2005 For all complex dimensions n>=2, we construct complete Kaehler manifolds of bounded curvature and non-negative Ricci curvature whose Kaehler--Ricci evolutions immediately acquire Ricci curvature of mixed sign.
arxiv
Quasi-convergence of Ricci flow for a class of metrics [PDF]
, 1993 Richard S. Hamilton, James Isenberg
openalex +1 more source
The Sasaki-Ricci flow and compact Sasakian manifolds of positive transverse holomorphic bisectional curvature [PDF]
arXiv, 2011 We show that Perelman's W-functional can be generalized to Sasaki-Ricci flow. When the basic first Chern class is positive, we prove a uniform bound on the scalar curvature, the diameter and a uniform $C^1$ bound for the transverse Ricci potential along the Sasaki-Ricci flow, which generalizes Perelman's results Kahler-Ricci flow to the Sasakian ...
arxiv
QUANTUM WORMHOLE AS A RICCI FLOW [PDF]
International Journal of Geometric Methods in Modern Physics, 2009 The idea is considered that a quantum wormhole in a spacetime foam can be described as a Ricci flow. In this interpretation, the Ricci flow is a statistical system and every metric in the Ricci flow is a microscopical state. The probability density of the microscopical state is connected with a Perelman's functional of a rescaled Ricci flow.
openaire +2 more sources
Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.
Alexander Zuevsky
doaj +1 more source
Fractional nonholonomic Ricci flows [PDF]
Chaos, Solitons & Fractals, 2012 We formulate the fractional Ricci flow theory for (pseudo) Riemannian geometries enabled with nonholonomic distributions defining fractional integro-differential structures, for non-integer dimensions. There are constructed fractional analogs of Perelman's functionals and derived the corresponding fractional evolution (Hamilton's) equations.
openaire +3 more sources