Results 141 to 150 of about 4,657,305 (302)

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

open access: yesAxioms, 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
doaj   +1 more source

The Ricci flow on manifolds with boundary [PDF]

open access: yesJournal of Differential Geometry, 2016
Improved exposition and statement on the control of the existence time of the Ricci flow, and updated/added some references. Also, a new section is added, demonstrating a situation in which the existence time of the Ricci flow (with boundary) with flat initial data and well behaved boundary data may become arbitrarily ...
openaire   +4 more sources

Determining properties of human‐induced pluripotent stem cell‐derived cardiomyocytes using spatially resolved electromechanical metrics

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend In this study, we use human‐induced pluripotent stem cell‐derived cardiomyocyte (hiPSC‐CM) experiments and computational modelling to identify the mechanism of action of drug compounds. In the hiPSC‐CM experiments, optical measurements of cell collections are recorded in the baseline case and after drug exposure.
Karoline Horgmo Jæger   +4 more
wiley   +1 more source

Eigenvalues of the Laplacian under the Ricci flow [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2007
We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications.
Luca Fabrizio Di Cerbo
doaj  

About Uniqueness of Steady Ricci Schwarzschild Solitons

open access: yesAxioms
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
doaj   +1 more source

Navigating string theory field space with geometric flows

open access: yesJournal 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   +2 more
doaj   +1 more source

Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator

open access: yesMathematics, 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
doaj   +1 more source

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