نتایج جستجو برای: semi real quaternionic involute evolute curve

تعداد نتایج: 784797  

Journal: :Fundamental Journal of Mathematics and Applications 2019

Journal: :Boletim da Sociedade Paranaense de Matemática 2021

2016
Giuseppe Menga Marco Ghirardi

In part II of this group of papers, the control of the gait of a biped robot during rectilinear walk was considered. The modeling approach and simulation, using Kane’s method with implementation leveraged by Autolev, a symbolic computational environment that is complementary, was discussed in part I. Performing turns during the walk is technically more complex than the rectilinear case and dese...

2008
A. F. Swann

We give an overview of some recent results in hypersymplectic and para-quaternionic Kähler geometry, and introduce the notion of split three-Sasakian manifold. In particular, we discuss the twistor spaces and Swann bundles of para-quaternionic Kähler manifolds. These are used to classify examples with a fully homogeneous action of a semi-simple Lie group, and to construct distinct para-quaterni...

Journal: :The American Mathematical Monthly 2014
Peter J. Giblin John P. Warder

The envelope of straight lines normal to a plane curve C is its evolute; the envelope of lines tangent to C is the original curve, together with the entire tangent line at each inflexion of C. We introduce some standard techniques of singularity theory and use them to explain how the first of these envelopes turns into the second, as the (constant) angle between the set of lines forming the env...

Journal: :J. Applied Mathematics 2014
Atakan Tugkan Yakut Murat Savas Tugba Tamirci

Curves as a subject of differential geometry have been intriguing for researchers throughout mathematical history and so they have been one of the interesting research fields. Regular curves play a central role in the theory of curves in differential geometry. In the theory of curves, there are some special curves such as Bertrand curves, Mannheim curves, involute and evolute curves, and pedal ...

Journal: :International Journal of Pure and Apllied Mathematics 2015

2007
Andrew Swann ANDREW SWANN

Nearly-quaternionic KK ahler manifolds of dimension at least 8 are shown to be quaternionic KK ahler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic KK ahler are also found.

2007
Andrew Swann ANDREW SWANN

Nearly-quaternionic KK ahler manifolds of dimension at least 8 are shown to be quaternionic KK ahler. Restrictions on the covariant derivative of the fundamental four-form of a semi-quaternionic KK ahler are also found.

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