Fractional Nonholonomic Ricci Flows
Sergiu I. Vacaru,
2010.04.05
http://arxiv.org/abs/1004.0625
We formulate the fractional Ricci flow theory for (pseudo) Riemannian
geometries enabled with nonholonomic distributions defining fractional
integrodifferential structures, for noninteger dimensions. There are
constructed fractional analogs of Perelman's functionals and derived the
corresponding fractional evolution (Hamilton's) equations. We apply in
fractional calculus the nonlinear connection formalism originally elaborated in
Finsler geometry and generalizations and recently applied to classical and
quantum gravity theories. There are also analyzed the fractional operators for
the entropy and fundamental thermodynamic values.
