Results 61 to 70 of about 6,713,503 (368)
The Calabi metric for the space of Kähler metrics [PDF]
Mathematische Annalen, 2011 Given any closed Kaehler manifold we define, following an idea by Eugenio Calabi, a Riemannian metric on the space of Kaehler metrics regarded as an infinite dimensional manifold. We prove several geometrical features of the resulting space, some of which we think were already known to Calabi.
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The Gromov–Hausdorff metric on the space of compact metric spaces is strictly intrinsic [PDF]
, 2015 It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geodesic.
A. Ivanov, N. K. Nikolaeva, A. Tuzhilin
semanticscholar +1 more source
The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley +1 more source
Tangent spaces to metric spaces and to their subspaces [PDF]
, 2008 We investigate a tangent space at a point of a general metric space and metric space valued derivatives. The conditions under which two different subspace of a metric space have isometric tangent spaces in a common point of these subspaces are completely
Dovgoshey, O.
core +1 more source
Journal of Mathematical Analysis and Applications, 2006 Recall that a mapping \(f\) from a metric space \((X,d)\) into itself is called non-contractive if \(d(f(x),f(y))\geq d(x,y)\) for all \(x,y\in X\). The authors call a metric space \((X,d)\) an EC-space if every noncontractive bijection from \(X\) onto itself is an isometry. A metric space that is not an EC-space is called an NEC-space.
Zbigniew Piotrowski +2 more
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Dimension of metric spaces [PDF]
Fundamenta Mathematicae, 1956 It is to be shown that a metric space has dimension ≤ n if and only if there exists a sequence {{ai} of locally finite open coverings, each of order ≤ n, with mesh tending to zero as i→∞, such that (a) the closure of each member of ai+1 is contained in some member of ai+1 is contained in some member of ai.
Witold Hurewicz, C. H. Dowker
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Common fixed points for weak commutative mappings on a multiplicative metric space
, 2014 In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d(Sx,Ty)≤{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}λ, where A and
Xiaoju He, Meimei Song, D. Chen
semanticscholar +1 more source
Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
wiley +1 more source
A Kernel-Based Calculation of Information on a Metric Space
, 2013 Kernel density estimation is a technique for approximating probability distributions. Here, it is applied to the calculation of mutual information on a metric space.
Houghton, Conor J., Tobin, R. Joshua
core +2 more sources
Journal of Differential Geometry, 2000 Donaldson conjectured \cite{Dona96} that the space of K hler metrics is geodesic convex by smooth geodesic and that it is a metric space. Following Donaldson's program, we verify the second part of Donaldson's conjecture completely and verify his first part partially.
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