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Título de Acceso Abierto

Advances in Discrete Differential Geometry

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No disponible.

Palabras clave – provistas por la editorial

Differential Geometry

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No requiere 2016 Directory of Open access Books acceso abierto
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Información

Tipo de recurso:

libros

ISBN impreso

978-3-662-50446-8

ISBN electrónico

978-3-662-50447-5

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Cobertura temática

naturales

Ciencias naturales

matematica

Matemáticas

fisica

Ciencias físicas

Tabla de contenidos

doi: 10.1007/978-3-662-50447-5_11

On the Lagrangian Structure of Integrable Hierarchies

Yuri B. Suris; Mats Vermeeren

We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integrable lattice systems. We derive the multi-time Euler Lagrange equations in their full generality for hierarchies of two-dimensional systems, and construct a pluri-Lagrangian formulation of the potential Korteweg-de Vries hierarchy.

Pp. 347-378

doi: 10.1007/978-3-662-50447-5_12

On the Variational Interpretation of the Discrete KP Equation

Raphael Boll; Matteo Petrera; Yuri B. Suris

We study the variational structure of the discrete Kadomtsev-Petviashvili (dKP) equation by means of its pluri-Lagrangian formulation. We consider the dKP equation and its variational formulation on the cubic lattice as well as on the root lattice . We prove that, on a lattice of dimension at least four, the corresponding Euler-Lagrange equations are equivalent to the dKP equation.

Pp. 379-405

doi: 10.1007/978-3-662-50447-5_13

Six Topics on Inscribable Polytopes

Arnau Padrol; Günter M. Ziegler

We discuss six topics related to inscribable polytopes, both in dimension 3 (where the topic was started with a problem posed by Steiner in 1832) and in higher dimensions.

Pp. 407-419

doi: 10.1007/978-3-662-50447-5_14

DGD Gallery: Storage, Sharing, and Publication of Digital Research Data

Michael Joswig; Milan Mehner; Stefan Sechelmann; Jan Techter; Alexander I. Bobenko

We describe a project, called the DGD Gallery, whose goal is to store geometric data and to make it publicly available. The DGD Gallery offers an online web service for the storage, sharing, and publication of digital research data.

Pp. 421-439