Wind Finslerian Structures: From Zermelo?s Navigation to the Causality of Spacetimes

Wind Finslerian Structures: From Zermelo?s Navigation to the Causality of Spacetimes PDF Author: Erasmo Caponio
Publisher: American Mathematical Society
ISBN: 1470469936
Category : Mathematics
Languages : en
Pages : 134

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Wind Finslerian Structures: From Zermelo?s Navigation to the Causality of Spacetimes

Wind Finslerian Structures: From Zermelo?s Navigation to the Causality of Spacetimes PDF Author: Erasmo Caponio
Publisher: American Mathematical Society
ISBN: 1470469936
Category : Mathematics
Languages : en
Pages : 134

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New Trends in Geometric Analysis

New Trends in Geometric Analysis PDF Author: Antonio Alarcón
Publisher: Springer Nature
ISBN: 3031399161
Category : Mathematics
Languages : en
Pages : 398

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Book Description
The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007. REAG was created with the objective of enabling the interchange of ideas and the knowledge transfer between several Spanish groups having Geometric Analysis as a common research line. This includes nine groups at Universidad Autónoma de Barcelona, Universidad Autónoma de Madrid, Universidad de Granada, Universidad Jaume I de Castellón, Universidad de Murcia, Universidad de Santiago de Compostela and Universidad de Valencia. The success of REAG has been substantiated with regular meetings and the publication of research papers obtained in collaboration between the members of different nodes. On the occasion of the 15th anniversary of REAG this book aims to collect some old and new contributions of this network to Geometric Analysis. The book consists of thirteen independent chapters, all of them authored by current members of REAG. The topics under study cover geometric flows, constant mean curvature surfaces in Riemannian and sub-Riemannian spaces, integral geometry, potential theory and Riemannian geometry, among others. Some of these chapters have been written in collaboration between members of different nodes of the network, and show the fruitfulness of the common research atmosphere provided by REAG. The rest of the chapters survey a research line or present recent progresses within a group of those forming REAG. Surveying several research lines and offering new directions in the field, the volume is addressed to researchers (including postdocs and PhD students) in Geometric Analysis in the large.

Developments in Lorentzian Geometry

Developments in Lorentzian Geometry PDF Author: Alma L. Albujer
Publisher: Springer Nature
ISBN: 3031053796
Category : Mathematics
Languages : en
Pages : 323

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Book Description
This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Córdoba, Spain, on February 1-5, 2021. It includes surveys describing the state-of-the-art in specific areas, and a selection of the most relevant results presented at the conference. Taken together, the papers offer an invaluable introduction to key topics discussed at the conference and an overview of the main techniques in use today. This volume also gathers extended revisions of key studies in this field. Bringing new results and examples, these unique contributions offer new perspectives to the original problems and, in most cases, extend and reinforce the robustness of previous findings. Hosted every two years since 2001, the International Meeting on Lorentzian Geometry has become one of the main events bringing together the leading experts on Lorentzian geometry. In this volume, the reader will find studies on spatial and null hypersurfaces, low regularity in general relativity, conformal structures, Lorentz-Finsler spacetimes, and more. Given its scope, the book will be of interest to both young and experienced mathematicians and physicists whose research involves general relativity and semi-Riemannian geometry.

On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations

On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations PDF Author: Alessandro Audrito
Publisher: American Mathematical Society
ISBN: 1470471353
Category : Mathematics
Languages : en
Pages : 130

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Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension PDF Author: Ermerson Araujo
Publisher: American Mathematical Society
ISBN: 1470471337
Category : Mathematics
Languages : en
Pages : 130

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The Strong K�nneth Theorem for Topological Periodic Cyclic Homology

The Strong K�nneth Theorem for Topological Periodic Cyclic Homology PDF Author: Andrew J. Blumberg
Publisher: American Mathematical Society
ISBN: 1470471388
Category : Mathematics
Languages : en
Pages : 114

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Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras

Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras PDF Author: Alcides Buss
Publisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100

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The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$

The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$ PDF Author: C. Bleak
Publisher: American Mathematical Society
ISBN: 1470471450
Category : Mathematics
Languages : en
Pages : 108

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Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems

Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems PDF Author: Myoungjean Bae
Publisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252

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Lorentzian Geometry and Related Topics

Lorentzian Geometry and Related Topics PDF Author: María A. Cañadas-Pinedo
Publisher: Springer
ISBN: 3319662902
Category : Mathematics
Languages : en
Pages : 278

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Book Description
This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area. Based on contributions from the VIII International Meeting on Lorentzian Geometry, held at the University of Málaga, Spain, this volume covers topics such as distinguished (maximal, trapped, null, spacelike, constant mean curvature, umbilical...) submanifolds, causal completion of spacetimes, stationary regions and horizons in spacetimes, solitons in semi-Riemannian manifolds, relation between Lorentzian and Finslerian geometries and the oscillator spacetime. In the last decades Lorentzian geometry has experienced a significant impulse, which has transformed it from just a mathematical tool for general relativity to a consolidated branch of differential geometry, interesting in and of itself. Nowadays, this field provides a framework where many different mathematical techniques arise with applications to multiple parts of mathematics and physics. This book is addressed to differential geometers, mathematical physicists and relativists, and graduate students interested in the field.