Results 21 to 30 of about 53,564 (278)

Lifting Dual Connections with the Riemann Extension

open access: yesMathematics, 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

open access: yesJournal 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

(Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry

open access: yes, 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

Categorical Properties of Soft Sets

open access: yesThe Scientific World Journal, 2014
The present study investigates some novel categorical properties of soft sets. By combining categorical theory with soft set theory, a categorical framework of soft set theory is established.
Min Zhou, Shenggang Li, Muhammad Akram
doaj   +1 more source

Keldysh nonlinear sigma model for a free-fermion gas under continuous measurements

open access: yesPhysical 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

Metric connections in projective differential geometry

open access: yes, 2008
We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
A.R. Gover   +6 more
core   +2 more sources

Emblematics and metaphor: theoretical facets and hermeneutic issues

open access: yesFrontiers in Communication, 2023
The article focuses on Renaissance emblematics and its privileged relationship with metaphor, considered in the light of contemporary theories as an inherently tensional form, steeped in interchange and transition and heavily relying on a basically ...
Daniele Borgogni
doaj   +1 more source

On curves and surfaces with projectively equivalent hyperplane sections

open access: yes, 1994
In this paper we describe projective curves and surfaces such that almost all their hyperplane sections are projectively equivalent. Our description is complete for curves and close to being complete for smooth surfaces.
L'vovsky, S.
core   +1 more source

Personal Spaces and Communal Consequences: Navigating Geographical Tensions With the Socially Responsible Behavior through Embodied Thinking (SORBET) Project

open access: yesFrontiers in Virtual Reality, 2022
The COVID-19 pandemic has impacted societies in different ways. This variation is inherently geographical with patterns across space and time reflecting underlying societal inequalities.
Kenneth Y. T. Lim, Samuel C. X. Li
doaj   +1 more source

Connections on trivial vector bundles over projective schemes

open access: yesComptes Rendus. Mathématique
Over a smooth and proper complex scheme, the differential Galois group of an integrable connection may be obtained as the closure of the transcendental monodromy representation.
Biswas, Indranil   +2 more
doaj   +1 more source

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