Results 21 to 30 of about 361,243 (290)
Shape Dimension and Intrinsic Metric from Samples of Manifolds [PDF]
Discrete & Computational Geometry, 2004 Discrete & Computational Geometry, 32 (2)
Joachim Giesen, Uli Wagner
openalex +6 more sources
Intrinsic metrics on complex manifolds [PDF]
Bulletin of the American Mathematical Society, 1967 Shôshichi Kobayashi
openalex +3 more sources
Bulletin of the Malaysian Mathematical Sciences Society, 2021 AbstractThe point pair function $$p_G$$ p G defined in a domain $$G\subsetneq {\mathbb {R}}^n$$ G ⊊ R
openaire +4 more sources
Intrinsic metrics in polygonal domains
Mathematische Nachrichten, 2023 AbstractWe study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. A special attention is paid to the triangular ratio metric in rectangles. A local study leads to investigation of the relationship between the conformal radius at an arbitrary point of a planar domain and the distance of ...
Dina Dautova +3 more
openaire +2 more sources
Intrinsically Lipschitz sections and applications to metric groups
Communications in Contemporary Mathematics, 2022 We introduce a notion of intrinsically Lipschitz graphs in the context of metric spaces. This is a broad generalization of what in Carnot groups has been considered by Franchi, Serapioni, and Serra Cassano, and later by many others. We proceed by focusing our attention on the graphs as subsets of a metric space given by the image of a section of a ...
Daniela Di Donato, Enrico Le Donne
openalex +4 more sources
Intrinsic metrics in ring domains [PDF]
Complex Analysis and its Synergies, 2022 AbstractThree hyperbolic-type metrics including the triangular ratio metric, the$$j^*$$j∗-metric, and the Möbius metric are studied in an annular ring. The Euclidean midpoint rotation is introduced as a method to create upper and lower bounds for these metrics, and their sharp inequalities are found. A new Möbius-invariant lower bound is proved for the
openaire +2 more sources
A new intrinsic metric and quasiregular maps [PDF]
Complex Analysis and its Synergies, 2021 We introduce a new intrinsic metric in subdomains of a metric space and give upper and lower bounds for it in terms of well-known metrics. We also prove distortion results for this metric under quasiregular maps.
Masayo Fujimura +2 more
openaire +3 more sources
An intrinsic characterization of the Kerr metric [PDF]
Classical and Quantum Gravity, 2009 We give the necessary and sufficient (local) conditions for a metric tensor to be the Kerr solution. These conditions exclusively involve explicit concomitants of the Riemann tensor.
Joan Josep Ferrando, Juan Antonio Sáez
openaire +4 more sources
Einstein metrics via intrinsic or parallel torsion [PDF]
Mathematische Zeitschrift, 2004 The classification of Riemannian manifolds by the holonomy group of their Levi-Civita connection picks out many interesting classes of structures, several of which are solutions to the Einstein equations. The classification has two parts. The first consists of isolated examples: the Riemannian symmetric spaces.
Richard Cleyton, Andrew Swann
openalex +7 more sources
Metrics and spectral triples for Dirichlet and resistance forms [PDF]
, 2013 The article deals with intrinsic metrics, Dirac operators and spectral triples induced by regular Dirichlet and resistance forms. We show, in particular, that if a local resistance form is given and the space is compact in resistance metric, then the ...
Hinz, Michael +2 more
core +1 more source