Results 111 to 120 of about 42,669 (197)
Kähler-Einstein metrics: Old and New
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella Daniele, Spotti Cristiano
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THE SPECTRAL GEOMETRY OF EINSTEIN MANIFOLDS WITH BOUNDARY [PDF]
Let (M,g) be a compact Einstein manifold with smooth boundary. We consider the spectrum of the p form valued Laplacian with respect to a suitable boundary condition. We show that certain geometric properties of the boundary may be spectrally characterized in terms of this data where we fix the Einstein constant.
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Artificial Creativity and Human Fragility
Abstract This article critiques the widespread assumption that generative AI systems exhibit genuine artistic creativity. While such systems can produce novel and aesthetically appealing outputs, assessments based solely on results obscure fundamental differences between human and artificial agents.
Johanna Merz
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Characterizing ϕRic-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds
We characterize multiply warped product manifolds with ϕRic-vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕRic-vector field.
Moctar Traore +2 more
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A Kähler Einstein structure on the tangent bundle of a space form
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
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Lonergan, Decolonization and First Nations Peoples: An Apologetic from an Insider on the Outside
Abstract The purpose of this article is to respond critically to a research project initiated out of the Board of the Lonergan Research Institute that seeks to expose colonialist assumptions in Lonergan's thought. Some of the initiatives seek to link Lonergan with complicity in Canadian residential schools, spiritual violence, and cultural genocide ...
John D. Dadosky
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Middlebrow Aesthetics: An Explanation and Defense
ABSTRACT We offer a philosophical account of the middlebrow as a theoretical category to do explanatory and critical work in aesthetics. On our account, the middlebrow ought to be understood as aspirational popular art. That is, it is art which aspires both to be popular (in a distinctive sense), and at the same time to be something more than popular ...
Aaron Meskin, Jonathan M. Weinberg
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Two-Dimensional Einstein Manifolds in Geometrothermodynamics
We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components.
Antonio C. Gutiérrez-Piñeres +2 more
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ABSTRACT Determinism is (roughly) the thesis that the past determines the future. But efforts to define it precisely have exposed deep methodological disagreements. Standard possible‐worlds formulations of determinism presuppose an “agreement” relation between worlds, but this relation can be understood in multiple ways, none of which is particularly ...
Hans Halvorson +2 more
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