Results 1 to 10 of about 511,827 (110)

Hodge Theory on Metric Spaces [PDF]

open access: yes, 2011
Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, which are important in the mathematical foundations of vision and pattern ...
A. Zomorodian   +40 more
core   +2 more sources

Spin(7)-Manifolds and Multisymplectic Geometry [PDF]

open access: yes, 2021
We utilize Spin(7) identities to prove that the Cayley four-form associated to a torsion-free Spin(7)-Structure is non-degenerate in the sense of multisymplectic geometry. Therefore, Spin(7) geometry may be treated as a special case of multisymplectic geometry.
arxiv   +1 more source

Tarski Geometry Axioms [PDF]

open access: yes, 2014
This is the translation of the Mizar article containing readable Mizar proofs of some axiomatic geometry theorems formulated by the great Polish mathematician Alfred Tarski [8], and we hope to continue this work.
Alama, Jesse   +2 more
core   +2 more sources

Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY [PDF]

open access: yes, 2012
We exhibit a pseudo-Hermitian metric on the moduli space/Teichmuller space of hyperelliptic curves of genus g ≧ 2. The pseudometric is defined using the area form on the moduli space of Euclidean cone structures which are obtained by taking quotients of ...
大鹿, 健一, 西, 晴子
core   +1 more source

A Metric for Heterotic Moduli

open access: yes, 2017
Heterotic vacua of string theory are realised, at large radius, by a compact threefold with vanishing first Chern class together with a choice of stable holomorphic vector bundle. These form a wide class of potentially realistic four-dimensional vacua of
Candelas, Philip   +2 more
core   +1 more source

Geometric Meanings of Curvatures in Finsler Geometry [PDF]

open access: yes, 2000
In Finsler geometry, we use calculus to study the geometry of regular inner metric spaces. In this note I will briefly discuss various curvatures and their geometric meanings from the metric geometry point of view, without going into the forest of ...
Shen, Zhongmin
core   +2 more sources

Metric Entropy of Homogeneous Spaces

open access: yes, 1997
For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core   +3 more sources

Pseudo-Riemannian geometry in terms of multi-linear brackets [PDF]

open access: yes, 2013
We show that the pseudo-Riemannian geometry of submanifolds can be formulated in terms of higher order multi-linear maps. In particular, we obtain a Poisson bracket formulation of almost (para-)K\"ahler geometry.
arxiv   +1 more source

Metric Algebraic Geometry [PDF]

open access: yes
Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century.
Breiding, Paul   +2 more
core   +1 more source

Geometry for the sixth grade "Figures in Space" [PDF]

open access: yes, 1962
Thesis (Ed.M.)--Boston UniversityAn enrichment activity in non-metric geometry for sixth grade children academically talented in ...
Fair, Arlene W.
core  

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