Results 11 to 20 of about 1,083,966 (327)
Curvature operators and scalar curvature invariants [PDF]
Classical and Quantum Gravity, 2010 We continue the study of the question of when a pseudo-Riemannain manifold can be locally characterised by its scalar polynomial curvature invariants (constructed from the Riemann tensor and its covariant derivatives).
Alan Coley +15 more
core +6 more sources
International Journal of Modern Physics D, 2002 The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can define effective pressure and energy density directly connected to the Ricci scalar of curvature of a generic fourth order ...
Capozziello, Salvatore
core +5 more sources
Scalar curvature and $Q$-curvature of random metrics [PDF]
The Journal of Geometric Analysis, 2010 We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry.
Canzani, Yaiza +2 more
core +8 more sources
Mathematische Annalen, 2014 The purpose of this paper is to interpret the phase transition in the Loewner theory as an analog of the hyperbolic variant of the Schur theorem about curves of bounded curvature. We define a family of curves that have a certain conformal self-similarity
Lind, Joan, Rohde, Steffen
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Curvature estimates for surfaces with bounded mean curvature [PDF]
Transactions of the American Mathematical Society, 2011 Estimates for the norm of the second fundamental form, $|A|$, play a crucial role in studying the geometry of surfaces. In fact, when $|A|$ is bounded the surface cannot bend too sharply.
Bourni, Theodora, Tinaglia, Giuseppe
core +10 more sources
On the flag curvature of Finsler metrics of scalar curvature [PDF]
Journal of the London Mathematical Society, 2003 The flag curvature of a Finsler metric is called a Riemannian quantity because it is an extension of sectional curvature in Riemannian geometry. In Finsler geometry, there are several non-Riemannian quantities such as the (mean) Cartan torsion, the (mean)
Chen, Xinyue +2 more
core +5 more sources
Blindness to Curvature and Blindness to Illusory Curvature [PDF]
i-Perception, 2018 We compare two versions of two known phenomena, the Curvature blindness and the Kite mesh illusions, to highlight how similar manipulations lead to blindness to curvature and blindness to illusory curvature, respectively. The critical factor is a change in luminance polarity; this factor interferes with the computation of curvature along the contour ...
Bertamini, Marco, Kitaoka, Akiyoshi
openaire +3 more sources
SSRN Electronic Journal, 2021 In a Mirrleesian environment, a monopsonist sets hourly wages and individuals choose how many hours to work. Labor market outcomes do not only depend on the level and slope of the income tax function, but also on its curvature. A more concave tax schedule raises the elasticity of labor supply, which boosts wages.
openaire +4 more sources
Curvature and uniformization [PDF]
Israel Journal of Mathematics, 2002 26 ...
Rafe Mazzeo, Michael Taylor
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Two-Step Method for Assessing Similarity of Random Sets
Image Analysis and Stereology, 2021 The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components of the random sets, namely on the curvature of their boundaries together ...
Vesna Gotovac Đogaš +5 more
doaj +1 more source