Results 41 to 50 of about 6,452 (264)
Projective compactifications and Einstein metrics [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 Abstract For complete affine manifolds we introduce a definition of compactification based on the projective differential geometry (i.e. geodesic path data) of the given connection. The definition of projective compactness involves a real parameter α called the order of projective compactness.
Cap, Andreas, Gover, A. Rod
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The nonexistence of quasi-Einstein metrics [PDF]
Pacific Journal of Mathematics, 2010 We study complete Riemannian manifolds satisfying the equation $Ric+\nabla^2 f-\frac{1}{m}df\otimes df=0$ by studying the associated PDE $Δ_f f + mμe^{2f/m}=0$ for $μ\leq 0$. By developing a gradient estimate for $f$, we show there are no nonconstant solutions.
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Journal of High Energy Physics, 2021 The ultrashort unitary (4, 0) supermultiplet of 6d superconformal algebra OSp(8∗|8) reduces to the CPT-self conjugate supermultiplet of 4d superconformal algebra SU(2, 2|8) that represents the fields of maximal N = 8 supergravity. The graviton in the (4,
Murat Günaydin
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On Bochner Flat Kähler B-Manifolds
Axioms, 2023 We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
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Einstein metrics and smooth structures [PDF]
Geometry & Topology, 1998 10 pages.
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European Physical Journal C: Particles and Fields, 2021 We construct an approximate solution to the cosmological perturbation theory around Einstein–de Sitter background up to the fourth-order perturbations. This could be done with the help of the specific symmetry condition imposed on the metric, from which ...
Szymon Sikora, Krzysztof Głód
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Rigidity of quasi-Einstein metrics
Differential Geometry and its Applications, 2011 We call a metric quasi-Einstein if the $m$-Bakry-Emery Ricci tensor is a constant multiple of the metric tensor. This is a generalization of Einstein metrics, which contains gradient Ricci solitons and is also closely related to the construction of the warped product Einstein metrics.
Case, Jeffrey, Shu, Yu-Jen, Wei, Guofang
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On the Curvature of Conic Kähler–Einstein Metrics [PDF]
The Journal of Geometric Analysis, 2017 We prove a regularity result for Monge-Ampère equations degenerate along smooth divisor on Kaehler manifolds in Donaldson's spaces of $β$-weighted functions. We apply this result to study the curvature of Kaehler metrics with conical singularities along divisors and give a geometric sufficient condition on the divisor for its boundedness.
Arezzo, C +2 more
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Kähler–Einstein metrics and eigenvalue gaps
Communications in Analysis and Geometry, 2023 The existence of Kahler-Einstein metrics on a Fano manifold is characterized in terms of a uniform gap between 0 and the first positive eigenvalue of the Cauchy-Riemann operator on smooth vector fields. It is also characterized by a similar gap between 0 and the first positive eigenvalue for Hamiltonian vector fields.
Guo, Bin, Phong, Duong H., Sturm, Jacob
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Clinical, Histologic, and Serological Predictors of Renal Function Loss in Lupus Nephritis
Arthritis Care &Research, EarlyView.Objective Kidney survival is the ultimate goal in lupus nephritis (LN) management, but long‐term predictors remain inadequately studied, requiring long‐term follow‐up. This study aimed to identify baseline and early longitudinal predictors of kidney survival in the Accelerating Medicines Partnership LN longitudinal cohort.
Shangzhu Zhang +21 more
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