Coverart for item
The Resource Geometric flows and the geometry of space-time, Vicente Cortés, Klaus Kröncke, Jan Louis, editors

Geometric flows and the geometry of space-time, Vicente Cortés, Klaus Kröncke, Jan Louis, editors

Label
Geometric flows and the geometry of space-time
Title
Geometric flows and the geometry of space-time
Statement of responsibility
Vicente Cortés, Klaus Kröncke, Jan Louis, editors
Contributor
Editor
Subject
Language
eng
Cataloging source
EBLCP
Dewey number
516
Index
no index present
LC call number
QA445
LC item number
.G46 2018
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1965-
http://library.link/vocab/relatedWorkOrContributorName
  • Cortés, Vicente
  • Kröncke, Klaus
  • Louis, Jan
Series statement
Tutorials, schools, and workshops in the mathematical sciences
http://library.link/vocab/subjectName
  • Geometry
  • Space and time
Label
Geometric flows and the geometry of space-time, Vicente Cortés, Klaus Kröncke, Jan Louis, editors
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Contents; Lorentzian Geometry: Holonomy, Spinors, and Cauchy Problems; Contents; 1 Introduction; 2 Basic Notions; 3 Lorentzian Holonomy Groups; 3.1 Basics on Holonomy Groups; 3.2 Holonomy Groups of Lorentzian Manifolds; 4 Lorentzian Spin Geometry: Curvature and Holonomy; 4.1 Spin Structures and Spinor Fields; 4.2 Curvature and Holonomy of Lorentzian Manifolds with Parallel Spinors; 5 Constraint Equations for Special Lorentzian Holonomy; 5.1 Constraint Equations for Recurrent and Parallel Vector Fields; 5.2 Constraint Equations for Parallel Spinor Fields
  • 6 The Cauchy Problem for the Vacuum Einstein Equations6.1 The Constraint Conditions for the Vacuum Einstein Equations; 6.2 Results from PDE Theory; 6.3 The Vacuum Einstein Equations as Evolution Equations; 6.4 The Vacuum Einstein Equations as Symmetric Hyperbolic System; 7 Cauchy Problems for Lorentzian Special Holonomy; 7.1 Evolution Equations for a Parallel Lightlike Vector Field in the Analytic Setting; 7.2 The Cauchy Problem for a Parallel Lightlike Vector Field as a Symmetric Hyperbolic System; 7.3 Cauchy Problem for Parallel Lightlike Spinors; 8 Geometric Applications
  • 8.1 Applications to Lorentzian Holonomy8.2 Applications to Spinor Field Equations; References; Geometric Flow Equations; Contents; 1 Overview and Plan for the Summer School; 1.1 Plan for the Summer School; 2 Differential Geometry of Submanifolds; 2.1 Graphical Submanifolds; 3 Evolving Submanifolds; 3.1 General Assumption; 3.2 Evolution of Graphs; 3.3 Examples; 3.4 Short-Time Existence and Avoidance Principle; 4 Evolution Equations for Submanifolds; 5 Convex Hypersurfaces; 5.1 Mean Curvature Flow; 5.2 Gauß Curvature Flow and Other Normal Velocities; 5.3 The Tensor Maximum Principle
  • 5.4 Two Dimensional Surfaces5.5 Calculations on a Computer Algebra System; 6 Mean Curvature Flow of Entire Graphs; 7 Mean Curvature Flow Without Singularities; 7.1 Intuition; 7.2 Results; 7.3 Strategy of Proof; 7.4 The A Priori Estimates; Appendix 1: Parabolic Maximum Principles; Appendix 2: Some Linear Algebra; References
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783030011260
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1078989249
  • (OCoLC)1078989249
Label
Geometric flows and the geometry of space-time, Vicente Cortés, Klaus Kröncke, Jan Louis, editors
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Contents; Lorentzian Geometry: Holonomy, Spinors, and Cauchy Problems; Contents; 1 Introduction; 2 Basic Notions; 3 Lorentzian Holonomy Groups; 3.1 Basics on Holonomy Groups; 3.2 Holonomy Groups of Lorentzian Manifolds; 4 Lorentzian Spin Geometry: Curvature and Holonomy; 4.1 Spin Structures and Spinor Fields; 4.2 Curvature and Holonomy of Lorentzian Manifolds with Parallel Spinors; 5 Constraint Equations for Special Lorentzian Holonomy; 5.1 Constraint Equations for Recurrent and Parallel Vector Fields; 5.2 Constraint Equations for Parallel Spinor Fields
  • 6 The Cauchy Problem for the Vacuum Einstein Equations6.1 The Constraint Conditions for the Vacuum Einstein Equations; 6.2 Results from PDE Theory; 6.3 The Vacuum Einstein Equations as Evolution Equations; 6.4 The Vacuum Einstein Equations as Symmetric Hyperbolic System; 7 Cauchy Problems for Lorentzian Special Holonomy; 7.1 Evolution Equations for a Parallel Lightlike Vector Field in the Analytic Setting; 7.2 The Cauchy Problem for a Parallel Lightlike Vector Field as a Symmetric Hyperbolic System; 7.3 Cauchy Problem for Parallel Lightlike Spinors; 8 Geometric Applications
  • 8.1 Applications to Lorentzian Holonomy8.2 Applications to Spinor Field Equations; References; Geometric Flow Equations; Contents; 1 Overview and Plan for the Summer School; 1.1 Plan for the Summer School; 2 Differential Geometry of Submanifolds; 2.1 Graphical Submanifolds; 3 Evolving Submanifolds; 3.1 General Assumption; 3.2 Evolution of Graphs; 3.3 Examples; 3.4 Short-Time Existence and Avoidance Principle; 4 Evolution Equations for Submanifolds; 5 Convex Hypersurfaces; 5.1 Mean Curvature Flow; 5.2 Gauß Curvature Flow and Other Normal Velocities; 5.3 The Tensor Maximum Principle
  • 5.4 Two Dimensional Surfaces5.5 Calculations on a Computer Algebra System; 6 Mean Curvature Flow of Entire Graphs; 7 Mean Curvature Flow Without Singularities; 7.1 Intuition; 7.2 Results; 7.3 Strategy of Proof; 7.4 The A Priori Estimates; Appendix 1: Parabolic Maximum Principles; Appendix 2: Some Linear Algebra; References
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783030011260
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1078989249
  • (OCoLC)1078989249

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