Results 41 to 50 of about 438,132 (304)
In this paper, we put forward on the drive-response synchronization in shape for four-dimensional (4-D) continuous chaotic system, using the basic theory of plane curves in classical differential geometry. For 4-D continuous system, shape synchronization
Yuanyuan Huang+4 more
doaj +1 more source
Geometry of nonholonomic complexes NGr (1, 5, 5)
In this article the differential geometry of nonholonomic complexes in five dimensional projective space is considered. The algebraic structure of the first fundamental object is considered and the geometrcal interpretations of some comitants of the ...
Kazimieras Navickis
doaj +1 more source
Book Review: A treatise on projective differential geometry [PDF]
P. O. Bell
openalex +4 more sources
Positive geometries and differential forms with non-logarithmic singularities. Part I
Positive geometries encode the physics of scattering amplitudes in flat space- time and the wavefunction of the universe in cosmology for a large class of models.
Paolo Benincasa, Matteo Parisi
doaj +1 more source
Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry [PDF]
It is demonstrated that the stationary Veselov-Novikov (VN) and the stationary modified Veselov-Novikov (mVN) equations describe one and the same class of surfaces in projective differential geometry: the so-called isothermally asymptotic surfaces ...
Ferapontov, E. V.
core +2 more sources
Classification of 1st order symplectic spinor operators over contact projective geometries [PDF]
We give a classification of $1^{st}$ order invariant differential operators acting between sections of certain bundles associated to Cartan geometries of the so called metaplectic contact projective type. These bundles are associated via representations,
Baldoni+27 more
core +2 more sources
Projective differential geometry and asymptotic analysis in General Relativity [PDF]
In this text, we explore the tools that Projective Differential Geometry can provide for the asymptotic analysis of classical fields on projectively compact manifolds. We emphasise on the case of order 2-compactifications and develop, in this case, a projective exterior differential tractor calculus that is analogous to that existing for conformally ...
arxiv
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Differential Geometry of Submanifolds of Projective Space [PDF]
These are lecture notes on the rigidity of submanifolds of projective space "resembling" compact Hermitian symmetric spaces in their homogeneous embeddings. Recent results are surveyed, along with their classical predecessors. The notes include an introduction to moving frames in projective geometry, an exposition of the Hwang-Yamaguchi ridgidity ...
openaire +3 more sources
A numerical scheme is presented to design a lattice support for metallic components additively built via laser powder bed fusion. Results show that thermal‐induced distortion can be respectively reduced by 69%, 58%, and 50% in comparison to a uniform lattice, a fully solid support, and a truss‐based lattice support.
Jiazheng Hu+2 more
wiley +1 more source