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Forman-Ricci Flow for Change Detection in Large Dynamic Data Sets

Axioms, 2016
We present a viable geometric solution for the detection of dynamic effects in complex networks. Building on Forman’s discretization of the classical notion of Ricci curvature, we introduce a novel geometric method to characterize different types of real-
Melanie Weber, Jürgen Jost, Emil Saucan
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Singularities of Connection Ricci Flow and Ricci Harmonic Flow

, 2013
In this paper, we study the singularities of two extended Ricci flow systems --- connection Ricci flow and Ricci harmonic flow using newly-defined curvature quantities. Specifically, we give the definition of three types of singularities and their corresponding singularity models, and then prove the convergence. In addition, for Ricci harmonic flow, we
openaire   +2 more sources

About Uniqueness of Steady Ricci Schwarzschild Solitons

Axioms
In this paper, the uniqueness of steady Schwarzschild gradient Ricci solitons is studied. The role of the weight functions is analyzed. The generalized steady Schwarzschild gradient Ricci solitons are investigated; the implications of the rotational ...
Orchidea Maria Lecian
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Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator

Mathematics, 2018
Let M be a three-dimensional trans-Sasakian manifold of type ( α , β ) . In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an α -Sasakian manifold, cosymplectic manifold or a
Yan Zhao, Wenjie Wang, Ximin Liu
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Topology of 3-dimensional manifolds [PDF]

ریاضی و جامعه
This is the second paper from a trio which reviews some of the progress in low dimensional topology in the past century. Starting with the work of Poincare in the last years of 19th century and first few years of 20th century, we review the major steps ...
Eaman Eftekhary
doaj   +1 more source

Ricci flow coupled with harmonic map flow [PDF]

Annales scientifiques de l'École normale supérieure, 2012
We investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target manifold N with a (possibly time-dependent) positive coupling constant alpha.
openaire   +4 more sources

Navigating string theory field space with geometric flows

Journal of High Energy Physics
The Swampland Distance Conjecture postulates the emergence of an infinite tower of massless states when approaching infinite-distance points in moduli space.
Saskia Demulder, Dieter Lüst, Thomas Raml   +2 more
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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

Ricci Solitons in β-Kenmotsu Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
The object of the present paper is to study Ricci soliton in β-Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β-Kenmotsu manifold is a constant multiple of the metric tensor.
Kumar Rajesh
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f– Kenmotsu Metric as Conformal Ricci Soliton

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
Nagaraja H. G., Venu K.
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