Locally conformally flat and self-dual structures on simple 4-manifolds
This is a survey article on the existence of locally conformally flat(LCF) and self-dual(SD) metrics on various basic 4-manifolds like simply-connected ones or product ...
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Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey
This paper is a survey on special geometric structures that admit conformal Killing spinors based on lectures, given at the ``Workshop on Special Geometric Structures in String Theory'', Bonn, September 2001 and at ESI, Wien, November 2001.
Baum, Helga
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Geometric Structures Induced by Deformations of the Legendre Transform. [PDF]
Morales PA, Korbel J, Rosas FE.
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The Role of Geometry in Convolutional Neural Networks for Medical Imaging. [PDF]
Singh Y +6 more
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On the structure of complete k��hlerian manifolds furnished with closed conformal vector fields
We show that if a connected compact k hlerian surface $M$ with nonpositive gaussian curvature is furnished with a closed conformal vector field $ $ whose singular points are isolated, then $M$ is isometric to a flat torus and $ $ is parallel. We also consider the case of a connected complete k hlerian manifod $M$ of complex dimension $n>1$ and ...
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From Quantum Curves to Topological String Partition Functions. [PDF]
Coman I, Pomoni E, Teschner J.
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Classification of audio signals using spectrogram surfaces and extrinsic distortion measures. [PDF]
Levy J, Naitsat A, Zeevi YY.
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On conformal submersions and manifolds with exceptional structure groups
This thesis comes in three main parts. In the first of these (comprising chapters 2 - 6), the basic theory of Riemannian and conformal submersions is described and the relevant geometric machinery explained. The necessary Clifford algebra is established and applied to understand the relationship between the spinor bundles of the base, the fibres and ...
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Reduced Order Modeling of Nonlinear Vibrating Multiphysics Microstructures with Deep Learning-Based Approaches. [PDF]
Gobat G, Fresca S, Manzoni A, Frangi A.
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