Results 1 to 10 of about 511,827 (110)
Hodge Theory on Metric Spaces [PDF]
, 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
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Spin(7)-Manifolds and Multisymplectic Geometry [PDF]
, 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
, 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
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Teichmuller Space and Related Topics : Proceedings of the workshop on Geometry, January 20, 2011, JOSAI UNIVERSITY [PDF]
, 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
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, 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
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Geometric Meanings of Curvatures in Finsler Geometry [PDF]
, 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
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Metric Entropy of Homogeneous Spaces
, 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.
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Pseudo-Riemannian geometry in terms of multi-linear brackets [PDF]
, 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]
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
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Geometry for the sixth grade "Figures in Space" [PDF]
, 1962 Thesis (Ed.M.)--Boston UniversityAn enrichment activity in non-metric geometry for sixth grade children academically talented in ...
Fair, Arlene W.
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