Results 21 to 30 of about 53,564 (278)
Lifting Dual Connections with the Riemann Extension
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
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Higher-spin self-dual Yang-Mills and gravity from the twistor space
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
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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
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Categorical Properties of Soft Sets
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
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Keldysh nonlinear sigma model for a free-fermion gas under continuous measurements
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
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Metric connections in projective differential geometry
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
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Emblematics and metaphor: theoretical facets and hermeneutic issues
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
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On curves and surfaces with projectively equivalent hyperplane sections
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.
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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
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Connections on trivial vector bundles over projective schemes
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
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