Results 21 to 30 of about 52,388 (182)
Geodesics on a supermanifold and projective equivalence of super connections [PDF]
, 2012 We investigate the concept of projective equivalence of connections in supergeometry. To this aim, we propose a definition for (super) geodesics on a supermanifold in which, as in the classical case, they are the projections of the integral curves of a ...
Abraham +22 more
core +1 more source
Benenti Tensors: A useful tool in Projective Differential Geometry
Complex Manifolds, 2018 Two metrics are said to be projectively equivalent if they share the same geodesics (viewed as unparametrized curves). The degree of mobility of a metric g is the dimension of the space of the metrics projectively equivalent to g. For any pair of metrics
Manno Gianni, Vollmer Andreas
doaj +1 more source
Delusion disorder: Neuropsychological aspects [PDF]
Psihologija, 2004 Previous studies concerned with neuropsychological aspect of delusions, were mainly focused on specific forms of this disorder. Comparatively small number of investigations were concerned with cognitive deficiencies accompanying the delusions.
Leposavić Ivana, Leposavić Ljubica M.
doaj +1 more source
On real projective connections, V.I. Smirnov's approach, and black hole type solutions of the Liouville equation [PDF]
, 2015 We consider real projective connections on Riemann surfaces and corresponding solutions of the Liouville equation. It is shown that these solutions have singularities of special type (of a black hole type) on a finite number of simple analytical contours.
Takhtajan, Leon A
core +1 more source
Lifting Dual Connections with the Riemann Extension
Mathematics, 2020 Let (M,g) be a Riemannian manifold equipped with a pair of dual connections (∇,∇*). Such a structure is known as a statistical manifold since it was defined in the context of information geometry.
Stéphane Puechmorel
doaj +1 more source
Higher-spin self-dual Yang-Mills and gravity from the twistor space
Journal of High Energy Physics, 2023 We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for their twistor formulation is not in the projective, but in the full twistor space, which is ...
Yannick Herfray +2 more
doaj +1 more source
Inflation from dynamical projective connections
Physical Review D, 2022 We show how the recently developed string-inspired, projectively-invariant gravitational model Thomas-Whitehead gravity (TW gravity) naturally gives rise to a field acting as the inflaton. In the formulation of TW gravity, a field $\mathcal{D}_{ab}$ is introduced into the projective connection components and is related to a rank-two tensor field ...
Muhammad Abdullah +6 more
openaire +2 more sources
Keldysh nonlinear sigma model for a free-fermion gas under continuous measurements
Physical Review Research, 2023 Quantum entanglement phase transitions have provided new insights into quantum many-body dynamics. Both disorders and measurements are found to induce similar entanglement transitions.
Qinghong Yang, Yi Zuo, Dong E. Liu
doaj +1 more source
Logarithmic Projective Connections
Tokyo Journal of Mathematics, 1993 Let \(X\) be a complex manifold of dimension \(n \geq 2\) and \(D\) a reduced effective divisor with only normal crossing singularities. Then, via a suitable locally finite open covering of \(X\), the divisor \(D\) is locally defined by equations \(z_ 1\dots z_ n = 0\), and such a local coordinate system is called a logarithmic coordinate system along \
openaire +3 more sources
, 2019 Projective connections arise from equivalence classes of affine connections under the reparametrization of geodesics. They may also be viewed as quotient systems of the classical geodesic equation.
Manno, Gianni, Vollmer, Andreas
core +1 more source