Figure 5 presents a geometric scheme in which a displacement in the wheel rolling on an inclined plane stands out. Next, we use this scheme to calculate the parametric equations of the trajectory of P ...

Curvature equations lie at the heart of differential geometry and the analysis of hypersurfaces, providing a rigorous framework for understanding the intrinsic and extrinsic geometric properties ...

Abstract Recently suggested scheme [1] of quantum computing uses g-qubit states as circular polarizations from the solution of Maxwell equations in terms of geometric algebra, along with clear ...

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

The ``Jackiw-Nair'' non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Levy-Leblond type for the ``exotic'' particle, ...

Article citations More>> Grayson, M.A. (1987) The Heat Equation Shrinks Embedded Plane Curves to Round Points. Journal of Differential Geometry, 26, 223-370. has been cited by the following article: ...

An important part of geometry computations for synthetic aperture radar (SAR) carried on a satellite platform is to convert between the instrument-specific coordinate system and a geocentric ...