Results 11 to 20 of about 2,884 (298)
Some Progress in Conformal Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2007 This is a survey paper of our current research on the theory of partial differential equations in conformal geometry. Our intention is to describe some of our current works in a rather brief and expository fashion.
Sun-Yung A. Chang, Jie Qing, Paul Yang
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Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold
Mathematics, 2021 We study the effect of a nontrivial conformal vector field on the geometry of compact Riemannian spaces. We find two new characterizations of the m-dimensional sphere Sm(c) of constant curvature c.
Amira Ishan +2 more
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Nonlocality, no-signalling, and Bellʼs theorem investigated by Weyl conformal differential geometry [PDF]
Physica Scripta, 2014 The principles and methods of the Conformal Quantum Geometrodynamics (CQG) based on the Weyl's differential geometry are presented. The theory applied to the case of the relativistic single quantum spin 1/2 leads a novel and unconventional derivation of Dirac's equation.
Francesco De Martini, SANTAMATO, ENRICO
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Differential Invariants of Conformal and Projective Surfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Evelyne Hubert, Peter J. Olver
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Advances in Mathematics, 2023 Let $g_0$ be a smooth Riemannian metric on a closed manifold $M^n$ of dimension $n\geq 3$. We study the existence of a smooth metric $g$ conformal to $g_0$ whose Schouten tensor $A_g$ satisfies the differential inclusion $λ(g^{-1}A_g)\inΓ$ on $M^n$, where $Γ\subset\mathbb{R}^n$ is a cone satisfying standard assumptions.
Duncan, JAJ, Nguyen, L
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MathematicsIn this study, we investigate the tangent bundle TM of an n-dimensional (pseudo-)Riemannian manifold M equipped with a Ricci-quarter symmetric metric connection ∇˜.
Yanlin Li, Aydin Gezer, Erkan Karakas
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
, 2012 The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
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Conformal differential geometry of a subspace [PDF]
Transactions of the American Mathematical Society, 1944 Not ...
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On the flat conformal differential geometry, II [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1945 Not ...
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Chiral rings, Futaki invariants, plethystics, and Gröbner bases
Journal of High Energy Physics, 2021 We study chiral rings of 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futaki invariants, it is not enough to only include the test symmetry ...
Jiakang Bao, Yang-Hui He, Yan Xiao
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