Geometric Flows of $${{\,\mathrm{G\!}\,}}_2$$ Structures

Lectures and Surveys on G2-Manifolds and Related Topics - Fields Institute Communications ◽

10.1007/978-1-0716-0577-6_5 ◽

2020 ◽

pp. 113-140

Author(s):

Jason D. Lotay

Keyword(s):

Geometric Flows

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Geometric Flows on Planar Lattices

10.1007/978-3-030-69917-8 ◽

2021 ◽

Author(s):

Andrea Braides ◽

Margherita Solci

Keyword(s):

Geometric Flows ◽

Planar Lattices

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Mixed finite element methods for geometric modeling using general fourth order geometric flows

Computer Aided Geometric Design ◽

10.1016/j.cagd.2008.12.004 ◽

2009 ◽

Vol 26 (4) ◽

pp. 378-395 ◽

Cited By ~ 5

Author(s):

Guoliang Xu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Geometric Modeling ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Geometric Flows

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Stability of geometric flows of closed forms

Advances in Mathematics ◽

10.1016/j.aim.2020.107030 ◽

2020 ◽

Vol 364 ◽

pp. 107030

Author(s):

Lucio Bedulli ◽

Luigi Vezzoni

Keyword(s):

Geometric Flows

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Second-Order Geometric Flows on Foliated Manifolds

Journal of Geometric Analysis ◽

10.1007/s12220-017-9839-7 ◽

2017 ◽

Vol 28 (1) ◽

pp. 697-725

Author(s):

Lucio Bedulli ◽

Weiyong He ◽

Luigi Vezzoni

Keyword(s):

Second Order ◽

Geometric Flows ◽

Foliated Manifolds

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Characterizing complex networks with Forman-Ricci curvature and associated geometric flows

Journal of Complex Networks ◽

10.1093/comnet/cnw030 ◽

2017 ◽

Vol 5 (4) ◽

pp. 527-550 ◽

Cited By ~ 17

Author(s):

Melanie Weber ◽

Emil Saucan ◽

Jürgen Jost

Keyword(s):

Complex Networks ◽

Ricci Curvature ◽

Geometric Flows

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Supersymmetric String Vacua with Torsion and Geometric Flows

10.22323/1.292.0096 ◽

2017 ◽

Author(s):

Duong Phong ◽

Sebastien Picard ◽

Xiangwen Zhang

Keyword(s):

Geometric Flows

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Geometric Flows of Curves, Two-Component Camassa-Holm Equation and Generalized Heisenberg Ferromagnet Equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/2090/1/012068 ◽

2021 ◽

Vol 2090 (1) ◽

pp. 012068

Author(s):

Gulgassyl Nugmanova ◽

Aigul Taishiyeva ◽

Ratbay Myrzakulov ◽

Tolkynai Myrzakul

Keyword(s):

Heisenberg Ferromagnet ◽

Geometric Flows ◽

Space Curves ◽

Holm Equation ◽

Two Component

Abstract In this paper, we study the generalized Heisenberg ferromagnet equation, namely, the M-CVI equation. This equation is integrable. The integrable motion of the space curves induced by the M-CVI equation is presented. Using this result, the Lakshmanan (geometrical) equivalence between the M-CVI equation and the two-component Camassa-Holm equation is established.

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