scholarly journals Periodic Trajectories of Ellipsoidal Billiards in the 3-Dimensional Minkowski Space

2020 ◽  
pp. 159-174
Author(s):  
Vladimir Dragović ◽  
Milena Radnović
Keyword(s):  
Minkowski Space ◽  
Periodic Trajectories ◽  
3 Dimensional ◽  
Dimensional Minkowski Space

scholarly journals New Representations of Spherical Indicatricies of Bertrand Curves in Minkowski 3-Space

Geometry ◽  
2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
İsmail Aydemir ◽  
Fırat Yerlikaya
Keyword(s):  
Minkowski Space ◽  
3 Dimensional ◽  
Bertrand Curve ◽  
Dimensional Minkowski Space ◽  
Characteristic Features

We obtained a new representation for timelike Bertrand curves and their Bertrand mate in 3-dimensional Minkowski space. By using this representation, we expressed new representations of spherical indicatricies of Bertrand curves and computed their curvatures and torsions. Furthermore in case the indicatricies of a Bertrand curve are slant helices, we investigated some new characteristic features of these curves.

scholarly journals Foliations between crooked planes in 3-dimensional Minkowski space

2019 ◽  
Vol 30 (01) ◽  
pp. 1950004
Author(s):  
Jean-Philippe Burelle ◽  
Dominik Francoeur
Keyword(s):  
Minkowski Space ◽  
3 Dimensional ◽  
Dimensional Minkowski Space ◽  
Minkowski Formula

We show that any two disjoint crooked planes in [Formula: see text] are leaves of a crooked foliation. This answers a question asked by Charette and Kim [V. Charette and Y. Kim, Foliations of Minkowski [Formula: see text] spacetime by crooked planes, Int. J. Math. 25(9) (2014) 1450088.].

THE STATIC AXIALLY SYMMETRIC SELF-DUAL YANG-MILLS FIELDS AND SURFACES OF NEGATIVE CURVATURE

1986 ◽  
Vol 01 (01) ◽  
pp. 193-210
Author(s):  
BO-YU HOU ◽  
BO-YUAN HOU ◽  
PEI WANG
Keyword(s):  
Minkowski Space ◽  
Negative Curvature ◽  
Complete Integrability ◽  
Axially Symmetric ◽  
Yang Mills ◽  
3 Dimensional ◽  
Variable Curvature ◽  
Dimensional Minkowski Space ◽  
Geometric Picture ◽  
Adjoint Space

An explicit geometric picture about the complete integrability of the static axially symmetric self-dual Yang-Mills equation and the gravitational Ernst equation is presented. The corresponding soliton surfaces in adjoint space (3-dimensional Minkowski space) has negative variable curvature. The Riccati equation is also given, so that the integrability of the Bäcklund transformation gets the confirmation.

HOW SINGULAR A SPACE CAN SUPERSTRINGS THREAD?

1991 ◽  
Vol 06 (03) ◽  
pp. 207-216 ◽  
Author(s):  
TRISTAN HÜBSCH
Keyword(s):  
Minkowski Space ◽  
Moduli Space ◽  
Space Time ◽  
3 Dimensional ◽  
Ricci Flat ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space

Many superstring models with N=1 supergravity in 4-dimensional Minkowski space-time involve σ-models with complex 3-dimensional, Ricci-flat target manifolds. In general, inclusion of singular target spaces probes the boundary of the moduli space and completes it. Studying suitably singular σ-models, the author found certain criteria for the severity of admissible singularizations.

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