Results 61 to 70 of about 115,417 (208)

On the differential geometry of curves in Minkowski space

, 2005
We discuss some aspects of the differential geometry of curves in Minkowski space. We establish the Serret-Frenet equations in Minkowski space and use them to give a very simple proof of the fundamental theorem of curves in Minkowski space. We also state
C. Romero, do Carmo M. P., J. B. Formiga, Kreyszig E., Lanczos C., Landau L. D., Naber G. L., Pina E., Synge J. L., Synge J. L.   +9 more
core   +1 more source

Isoparametric hypersurfaces in Minkowski spaces

Differential Geometry and its Applications, 2016
In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in Finsler manifolds and give the necessary and sufficient conditions for a transnormal function to be isoparametric. We then prove that hyperplanes, Minkowski hyperspheres and $F^*$-Minkowski cylinders in a Minkowski space with $BH$-volume (resp.
He, Qun, Yin, Songting, Shen, Yibing
openaire   +3 more sources

Clairaut's Theorem in Minkowski Space [PDF]

, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saad, Anis, Low, Robert J.
openaire   +3 more sources

Existence of Solutions of Semilinear Wave Equations With Time‐Dependent Propagation Speed and Time Derivative Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley   +1 more source

Differential structure on kappa-Minkowski space, and kappa-Poincare algebra

, 2011
We construct realizations of the generators of the $\kappa$-Minkowski space and $\kappa$-Poincar\'{e} algebra as formal power series in the $h$-adic extension of the Weyl algebra. The Hopf algebra structure of the $\kappa$-Poincar\'{e} algebra related to
Balachandran A. P., Balachandran A. P., Borowiec A., Dimitrijević M., Girelli F., Kowalski-Glikman J., Li M., Meljanac S., SAŠA KREŠIĆ-JURIĆ, Seiberg N., STJEPAN MELJANAC, Thiemann T.   +11 more
core   +1 more source

Dynamic Event‐Triggered Robust Model Predictive Control for Quadrotor Trajectory Tracking

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the trajectory tracking problem for a full‐state quadrotor subject to physical model constraints and unknown external disturbances. A robust tube‐based model predictive control (MPC) approach is successfully applied to the system, which is subject to bounded disturbances and hard constraints.
Ali Can Erüst, Fatma Yıldız Taşcıkaraoğlu, İbrahim Beklan Küçükdemiral   +2 more
wiley   +1 more source

Causal particle detectors and topology

, 2005
We investigate particle detector responses in some topologically non-trivial spacetimes. We extend a recently proposed regularization of the massless scalar field Wightman function in 4-dimensional Minkowski space to arbitrary dimension, to the massive ...
Abramowitz, Allen, Anderson, Banach, Banach, Birrell, Chamblin, Chen, Davies, Davies, Davies, Deser, Deser, Deser, DeWitt, Fewster, Fewster, Fewster, Ford, Ford, Ford, Ford, Fronsdal, Garfinkle, Geroch, Goenner, Gradshteyn, Hawking, Higuchi, Hong, Hong, Hong, Hong, Kim, Langlois, Langlois, Louko, Louko, McInnes, Misner, Paul Langlois, Pfenning, Pfenning, Santos, Schleich, Schleich, Schlicht, Sriramkumar, Sriramkumar, Suzuki, Svaiter, Svaiter, Takagi, Unruh, Vilenkin, Zwillinger   +55 more
core   +2 more sources

Equilateral Sets in Minkowski Spaces [PDF]

Proceedings of the American Mathematical Society, 1971
The structure of equilateral sets in an n-dimensional Minkowski space M n {M^n} is shown to be closely related to the properties of antipodal sets. The range of the cardinality of maximal equilateral sets in M n {M^n} is obtained and a subset ...
openaire   +1 more source

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

The momentum spaces of κ-Minkowski noncommutative spacetime

Nuclear Physics B, 2020
A useful concept in the development of physical models on the κ-Minkowski noncommutative spacetime is that of a curved momentum space. This structure is not unique: several inequivalent momentum space geometries have been identified.
Fedele Lizzi, Mattia Manfredonia, Flavio Mercati   +2 more
doaj   +1 more source