Results 21 to 30 of about 131,999 (262)

Geometry of nonholonomic complexes NGr (1, 5, 5)

Lietuvos Matematikos Rinkinys, 2011
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

Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption

IEEE Access, 2020
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, Longwang Huang, Yinhe Wang, Yuxu Peng, Fei Yu   +4 more
doaj   +1 more source

Projective differential geometry of multidimensional dispersionless integrable hierarchies [PDF]

, 2013
We introduce a general setting for multidimensional dispersionless integrable hierarchy in terms of differential m-form Ωm with the coefficients satisfying the Plücker relations, which is gauge-invariantly closed and its gauge-invariant coordinates ...
L. V. Bogdanov, B. Konopelchenko
semanticscholar   +1 more source

Projective Differential Geometry of Developable Surfaces [PDF]

Transactions of the American Mathematical Society, 1913
Reprinted from the Transactions of the American Mathematical Society, v. 14. ; Vita. ; Thesis (Ph.D.)--University of Illinois, 1912. ; Mode of access: Internet.
openaire   +1 more source

Differential geometry of systems of projections in Banach algebras [PDF]

Pacific Journal of Mathematics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corach, Gustavo, Porta, Horacio, Recht, Lázaro   +2 more
openaire   +2 more sources

Positive geometries and differential forms with non-logarithmic singularities. Part I

Journal of High Energy Physics, 2020
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]

, 1998
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 ...
E. Ferapontov
semanticscholar   +1 more source

Rational homotopy type of projectivization of the tangent bundle of certain spaces [PDF]

Arab Journal of Mathematical Sciences
PurposeThe paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces.Design/methodology ...
Jean Baptiste Gastinzi, Meshach Ndlovu
doaj   +1 more source

Differential geometry and general relativity with algebraifolds [PDF]

Journal of Geometry and Physics
It is often noted that many of the basic concepts of differential geometry, such as the definition of connection, are purely algebraic in nature. Here, we review and extend existing work on fully algebraic formulations of differential geometry which ...
Tobias Fritz
semanticscholar   +1 more source

Higher Order Connections

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
doaj   +1 more source