Results 11 to 20 of about 1,183,540 (276)
A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception [PDF]
Vision, 2018 We present a Riemannian geometry theory to examine the systematically warped geometry of perceived visual space attributable to the size⁻distance relationship of retinal images associated with the optics of the human eye.
Peter D. Neilson +2 more
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Non-Riemannian geometry of M-theory [PDF]
Journal of High Energy Physics, 2019 We construct a background for M-theory that is moduli free. This background is then shown to be related to a topological phase of the E8(8) exceptional field theory (ExFT).
David S. Berman +2 more
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Dynamic graphs, community detection, and Riemannian geometry [PDF]
Applied Network Science, 2018 A community is a subset of a wider network where the members of that subset are more strongly connected to each other than they are to the rest of the network.
Craig Bakker +2 more
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Generalized pseudo-Riemannian geometry [PDF]
Transactions of the American Mathematical Society, 2002 Generalized tensor analysis in the sense of Colombeau’s construction is employed to introduce a nonlinear distributional pseudo-Riemannian geometry. In particular, after deriving several characterizations of invertibility in the algebra of generalized functions, we define the notions of generalized pseudo-Riemannian metric, generalized connection and ...
Michael Kunzinger, Roland Steinbauer
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Riemannian Geometry on Quantum Spaces [PDF]
International Journal of Modern Physics A, 1997 An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended to complex manifolds. Examples include the quantum sphere, the complex quantum projective space and the two-sheeted space.
Pei-Ming Ho
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On the area distance and the Riemannian geometry
Nuovo cimento. B, 1999 We study an area distance in the Riemannian spacetime with expansion, vorticity and acceleration. It is shown that this observable depends on expansion, deceleration and acceleration parameters to third order in redshift, as well as on vorticity. Thus, the considerable acceleration or vorticity of the Universe can substantially influence the standard ...
D. Palle
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Excitonic topology and quantum geometry in organic semiconductors [PDF]
Nature CommunicationsExcitons drive the optoelectronic properties of organic semiconductors which underpin devices including solar cells and light-emitting diodes. Here we show that excitons can exhibit topologically non-trivial states protected by inversion symmetry and ...
Wojciech J. Jankowski +3 more
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Understanding the Latent Space of Diffusion Models through the Lens of Riemannian Geometry [PDF]
Neural Information Processing Systems, 2023 Despite the success of diffusion models (DMs), we still lack a thorough understanding of their latent space. To understand the latent space $\mathbf{x}_t \in \mathcal{X}$, we analyze them from a geometrical perspective. Our approach involves deriving the
Yong-Hyun Park +4 more
semanticscholar +1 more source
Riemannian Holonomy and Algebraic Geometry
, 1999 This survey paper is devoted to Riemannian manifolds with special holonomy. To any Riemannian manifold of dimension n is associated a closed subgroup of SO(n), the holonomy group; this is one of the most basic invariants of the metric. A famous theorem of Berger gives a complete (and rather small) list of the groups which can appear.
Beauville, A.
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