Dr. Tom Krantz

Gastwissenschaftler der Universität Luxemburg

differentialgeometrie
fakultät für mathematik

 

TU Dortmund

 

 

 

 

 

  Lehre | Forschung | Kontakt  

 

 

 

 

 

 

 


Forschungsthemen:

 

Holonomie torsionsfreier Zusammenhänge, Lorentz-geometrie, symplektische und Kontaktgeometrie, symmetrische Räume

Schriftenverzeichnis:

 

Thomas Krantz and Virgile Mogbil, Encoding Hamiltonian Circuits Into Multiplicative Linear Logic, Theoretical Computer Science archive Volume 266, Issue 1-2 (September 2001), pp. 987 - 996, ISSN:0304-3975. 

Thomas Krantz, Holonomie des connexions sans torsion, PhD-thesis, Université Henri Poincaré Nancy, 03/2007, [pdf], [errata]

Thomas Krantz, Holonomy representations which are a diagonal direct sum of two faithful representations, 03/2007, arXiv: 0704.2776, hal-00142749.

Lionel Bérard Bergery and Tom Krantz, Representations admitting two pairs of supplementary invariant spaces, Differential Geometry and its Applications, Vol. 29, Issue 1, 02/2011, pp. 7-19, [link].

Lionel Bérard Bergery and Thomas Krantz, Canonical torsion-free connections on the total space of the tangent and the cotangent bundle, 03/2008, arXiv: 0904.4581, hal-00267590.

Thomas Krantz, On the Holonomy of Kaluza-Klein metrics, 05/2008, arXiv: 0805.0658.

Thomas Krantz, Kaluza-Klein-type Metrics with Special Lorentzian Holonomy, Journal of Geometry and Physics, Vol. 60, Issue 1, 01/2010, pp. 74-80,[link].

Tom Krantz and Lorenz J. Schwachhöfer, Extrinsically Immersed Symplectic Symmetric Spaces, Annals of Global Analysis and Geometry, Vol. 37, no. 4, 2010, pp. 379-391, [link].

Thomas Krantz, Infinitesimal semisimple symplectic extrinsic symmetric spaces, 04/2012, arXiv: 1204.2911.