Results 91 to 100 of about 14,182 (200)
Geometrical aspects of spinor and twistor analysis [PDF]
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
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The quaternionic geometry of four-dimensional conformal field theory
, 1998 We show that four-dimensional conformal field theory is most naturally formulated on Kulkarni 4-folds, i.e. real 4-folds endowed with an integrable quaternionic structure.
Zucchini R., Roberto Zucchini
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The conformal geometry of billiards [PDF]
Bulletin of the American Mathematical Society, 2010 This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1-form) and an
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Schouten tensor equations in conformal geometry with prescribed boundary metric
Electronic Journal of Differential Equations, 2005 We deform the metric conformally on a manifold with boundary. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior ...
Oliver C. Schnuerer
doaj
New conformal invariants in absolute parallelism geometry
, 2017 The aim of the present paper is to investigate conformal changes in absolute parallelism geometry. We find out some new conformal invariants in terms of the Weitzenböck connection and the Levi-Civita connection of an absolute parallelism space.
Ebtsam H. Taha +2 more
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Recent Progress in Conformal Geometry
Advanced Nonlinear Studies, 2003 Abstract In this paper, we describe new results in Contact Form Geometry and Yamabe-type problems. We provide in Contact Form Geometry a new way to use the results of [10] and define a homology. We emphasize the connections with the area of pseudeholomorphic curves.
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Modular transformations of admissible N = 2 and Affine sl(2|1;C) characters [PDF]
, 2002 This thesis is a study of the affine super-algebra sl(2|l; C) and N = 2 superconformal algebra at fractional levels. In the first chapter we review background material on Conformal Field Theory, and how it appears in the context of string theory and the ...
Sadeghi, Jafar
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Distinguished curves and submanifolds in conformal geometry
, 2022 Conformal geometry is a weakening of Riemannian geometry where one works with a smooth manifold equipped with an equivalence class of Riemannian metrics, where two metrics are equivalent if and only if they define the same angles between curves. Early
Snell, Daniel
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Quasi-conformal curvature tensor on sequential doubly warped product manifolds with applications
European Physical Journal C: Particles and FieldsThis paper introduces a comprehensive geometric framework that bridges two important but previously disconnected areas of Riemannian geometry: the theory of sequential doubly warped product (SDWP) manifolds and the theory of quasi-conformal curvature ...
Hatem E. Semary +3 more
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Conformal Geometry of Horn Angles [PDF]
Proceedings of the National Academy of Sciences, 1936 Kasner, Edward, Comenetz, George
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