scholarly journals Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature

2009 ◽  
Vol 26 (3) ◽  
pp. 903-915 ◽  
Author(s):  
Pierre Bayard ◽  
Philippe Delanoë
Keyword(s):  
Scalar Curvature ◽  
Minkowski Space ◽  
Light Cone ◽  
Radial Graphs

scholarly journals Fermionic bound states in Minkowski space: light-cone singularities and structure

2017 ◽  
Vol 77 (11) ◽  
Author(s):  
Wayne de Paula ◽  
Tobias Frederico ◽  
Giovanni Salmè ◽  
Michele Viviani ◽  
Rafael Pimentel
Keyword(s):  
Minkowski Space ◽  
Light Cone ◽  
Bound States

scholarly journals Umbilicity of space-like submanifolds of Minkowski space

2004 ◽  
Vol 134 (2) ◽  
pp. 375-387 ◽  
Author(s):  
Shyuichi Izumiya ◽  
Donghe Pei ◽  
María del Carmen Romero Fuster
Keyword(s):  
Minkowski Space ◽  
Light Cone ◽  
Three Dimensional ◽  
De Sitter ◽  
Normal Field ◽  
Conformal Flatness ◽  
Curvature Ellipse

We study some properties of space-like submanifolds in Minkowski n-space, whose points are all umbilic with respect to some normal field. As a consequence of these and some results contained in a paper by Asperti and Dajczer, we obtain that being ν-umbilic with respect to a parallel light-like normal field implies conformal flatness for submanifolds of dimension n − 2 ≥ 3. In the case of surfaces, we relate the umbilicity condition to that of total semi-umbilicity (degeneracy of the curvature ellipse at every point). Moreover, if the considered normal field is parallel, we show that it is everywhere time-like, space-like or light-like if and only if the surface is included in a hyperbolic 3-space, a de Sitter 3-space or a three-dimensional light cone, respectively. We also give characterizations of total semi-umbilicity for surfaces contained in hyperbolic 4-space, de Sitter 4-space and four-dimensional light cone.

Light-cone QCD on the lattice

2000 ◽  
Vol 83-84 (1-3) ◽  
pp. 116-120 ◽  
Author(s):  
S Dalley
Keyword(s):  
Light Cone

On generalized partially null Mannheim curves in Minkowski space-time

2016 ◽  
Vol 46 (1) ◽  
pp. 159-170 ◽  
Author(s):  
Emilija Nešović ◽  
Milica Grbović
Keyword(s):  
Minkowski Space ◽  
Space Time ◽  
Minkowski Space Time

Positive scalar curvature metrics via end-periodic manifolds

2020 ◽  
Vol 5 (3) ◽  
pp. 639-676
Author(s):  
Michael Hallam ◽  
Varghese Mathai
Keyword(s):  
Scalar Curvature ◽  
Positive Scalar Curvature ◽  
Positive Scalar
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