Metric projective geometry, BGG detour complexes and partially massless gauge theories [PDF]
, 2014 A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems.
Gover, A. R., Latini, E., Waldron, A.
core +3 more sources
Sensitivities in complex-time flows: Phase transitions, Hamiltonian structure, and differential geometry. [PDF]
ChaosReminiscent of physical phase transition separatrices divides the phase space of dynamical systems with multiple equilibria into regions of distinct flow behavior and asymptotics.
Dirk Lebiedz, Johannes Poppe
semanticscholar +1 more source
Book Review: A treatise on projective differential geometry [PDF]
Bulletin of the American Mathematical Society, 1943 P. O. Bell
openalex +4 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
Classification of 1st order symplectic spinor operators over contact projective geometries [PDF]
, 2007 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
Poisson groups and differential Galois theory of Schroedinger equation on the circle [PDF]
, 2007 We combine the projective geometry approach to Schroedinger equations on the circle and differential Galois theory with the theory of Poisson Lie groups to construct a natural Poisson structure on the space of wave functions (at the zero energy level ...
Marshall, Ian +1 more
core +1 more source
On the hyperbolicity of general hypersurfaces [PDF]
, 2016 In 1970, Kobayashi conjectured that general hypersurfaces of sufficiently large degree in $P^n$ are hyperbolic. In this paper we prove that a general sufficiently ample hypersurface in a smooth projective variety is hyperbolic.
Brotbek, Damian
core +2 more sources
Differential Geometry of Submanifolds of Projective Space [PDF]
, 2008 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
Harmonic maps in unfashionable geometries
, 2001 We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in both Lie sphere and projective differential geometry.
Burstall, F. E., Hertrich-Jeromin, U.
core +1 more source
Contributions to the Affine and Projective Differential Geometries of Plane Curves
Japanese journal of mathematics :transactions and abstracts, 1936 Shigeo Sasaki
openalex +5 more sources