Results 81 to 90 of about 62,448 (173)

Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We formulate an approach to the geometry of Riemann-Cartan spaces provided with nonholonomic distributions defined by generic off-diagonal and nonsymmetric metrics inducing effective nonlinear and affine connections.
Sergiu I. Vacaru
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Inconsistency of point-particle dynamics on higher-spin backgrounds

Journal of High Energy Physics
We use the light-cone gauge formalism to study interactions of point particles with massless higher-spin fields. By analysing the light-cone consistency conditions at the subleading order in higher-spin fields, we find that no local interactions of point
Vyacheslav Ivanovskiy, Dmitry Ponomarev
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Geometric Optimal Transport for Cross-Modal Medical Manifold Alignment: A Differential Approach to Multimodal Diagnosis

IEEE Access
We present a novel theoretical framework for multimodal medical diagnosis that formulates heterogeneous data integration as a problem of aligning Riemannian manifolds through differential geometric principles.
Yuan Shen
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Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]

ریاضی و جامعه
This paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
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Optimization of Manifold Learning Using Differential Geometry for 3D Reconstruction in Computer Vision

Mathematics
Manifold learning is a significant computer vision task used to describe high-dimensional visual data in lower-dimensional manifolds without sacrificing the intrinsic structural properties required for 3D reconstruction. Isomap, Locally Linear Embedding (
Yawen Wang
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Two lectures on local riemannian geometry, $Spin^{\C}$ - structures and Seiberg - Witten equation

, 2003
In the present text we discuss basic aspects of the Seiberg - Witten theory mainly focusing the attantion on some geometrical details which could make the introduction to the subject more illustrative. At the same time we list there natural problems arise in this framework mostly interesting to the author.
openaire   +2 more sources

Pedestrian dynamics modeling and social force analysis based on object detection

Frontiers in Physics
IntroductionObject detection is a fundamental component of modern computational applications, playing a crucial role in pedestrian analysis, autonomous navigation, and crowd monitoring. Despite its widespread utility, pedestrian-oriented object detection
Fangyan Yang, Rong Liu, Daoyu Zhu
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Hilbert Bundles and Holographic Space–Time Models

Astronomy
We reformulate holographic space–time models in terms of Hilbert bundles over the space of the time-like geodesics in a Lorentzian manifold. This reformulation resolves the issue of the action of non-compact isometry groups on finite-dimensional Hilbert ...
Tom Banks
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On the class of pseudo-Riemannian geometries which can not be locally described using curvature scalars solely

, 2014
A classic problem with intriguing implications at the level of both applied differential geometry and theoretical physics is dealt with in this short work: Is there any criterion in order to decide whether a pseudo-Riemannian space can be locally described using curvature scalars solely?
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PPI-Diff: De Novo Generation of Peptide Binders via Resolution-Aware Geometric Diffusion

Biomolecules
Peptide binders, serving as a critical drug modality bridging small-molecule compounds and protein macromolecules, can effectively mimic the secondary structural elements of natural proteins.
Benzhi Dong, Sijia Li, Chang Hou, Dali Xu   +3 more
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