Results 11 to 20 of about 906,607 (253)

About Twistor Spinors with Zero in Lorentzian Geometry [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
We describe the local conformal geometry of a Lorentzian spin manifold (M,g) admitting a twistor spinor φ with zero. Moreover, we describe the shape of the zero set of φ.
Felipe Leitner
doaj   +4 more sources

Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper generalizes this first step to
Nicolas Franco
doaj   +2 more sources

Invariant Submanifolds of a Lorentzian β-Kenmotsu Manifold

open access: yesAmesia
In this paper we have investigated invariant submanifolds of Lorentzian β-Kenmotsu manifolds and obtained the necessary and sufficient conditions for total geodesic submanifolds of Lorentzian β-Kenmotsu manifolds.
Tuğba Mert, Mehmet Atçeken
doaj   +2 more sources

Non-Lorentzian geometry of fluids and strings [PDF]

open access: yes, 2023
Non-Lorentzian geometry is a branch of geometry where, roughly speaking, the notion of a metric is replaced by something else. We begin by providing an overview of non-Lorentzian geometries, and we describe how they as Cartan geometries which emphasises ...
Have, Emil
core   +1 more source

Euler-Savary Formula for the Lorentzian Planar Homothetic Motions [PDF]

open access: yes, 2001
One-parameter planar homothetic motion of 3-lorentzian planes, two are moving and one is fixed, have been considered in ref. [19]. In this paper we have given the canonical relative systems of a plane with respect to other planes so that the plane has a ...
Pirdal, A.Z., Gungor, M.A., Tosun, M.
core   +1 more source

Geometry applications of irreducible representations of Lie Groups [PDF]

open access: yes, 2010
In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Thomas Leistner   +7 more
core   +1 more source

A Lorentzian quantum geometry [PDF]

open access: yes, 2012
In this thesis, a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems is proposed. After giving the general definition of causal fermion systems, we deduce space-time as a topological space with an underlying ...
Grotz, Andreas, Finster, Felix
core   +1 more source

A Lorentzian quantum geometry [PDF]

open access: yes, 2011
We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems. After giving the general definition of causal fermion systems, we deduce space-time as a topological space with an underlying causal structure ...
Grotz, Andreas   +2 more
core   +1 more source

Aspects of Nonrelativistic Strings

open access: yesFrontiers in Physics, 2022
We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Gerben Oling, Ziqi Yan
doaj   +1 more source

The Geometry of Noncommutative Spacetimes

open access: yesUniverse, 2017
We review the concept of ‘noncommutative spacetime’ approached from an operational stand-point and explain how to endow it with suitable geometrical structures. The latter involves i.a.
Michał Eckstein
doaj   +1 more source

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