Results 21 to 30 of about 123,837 (223)
Geometric structures associated with a simple Cartan 3-form
, 2013 We introduce the notion of a manifold admitting a simple compact Cartan 3-form $\om^3$. We study algebraic types of such manifolds specializing on those having skew-symmetric torsion, or those associated with a closed or coclosed 3-form $\om^3$. We prove
Baez +22 more
core +1 more source
Advanced Engineering Materials, EarlyView.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
wiley +1 more source
Riemannian Holonomy Groups of Statistical Manifolds [PDF]
, 2014 Normal distribution manifolds play essential roles in the theory of information geometry, so do holonomy groups in classification of Riemannian manifolds.
Jiu, Lin +3 more
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Conceptual Issues for Noncommutative Gravity on Algebras and Finite Sets
, 1999 We discuss some of the issues to be addressed in arriving at a definitive noncommutative Riemannian geometry that generalises conventional geometry both to the quantum domain and to the discrete domain.
Majid, S.
core +2 more sources
Advanced Engineering Materials, EarlyView.This study investigates the fundamental mechanisms of a novel postweld treatment that significantly enhances fatigue performance through engineered residual stress (RS) states. A multiscale approach correlates tensile RS in the nanometallic multilayer coating with corresponding compressive RS in the steel substrate, thereby reducing localized stress ...
Niclas Spalek +3 more
wiley +1 more source
Tame Fr\'echet submanifolds [PDF]
, 2013 We introduce the new class of submanifolds of co-Banach type in tame Fr\'echet manifolds and construct tame Fr\'echet submanifolds as inverse images of regular values of certain tame maps.
Freyn, Walter
core
Advanced Engineering Materials, EarlyView.Four‐point bending tests are conducted in an argon atmosphere on commercial MgO‐C brick grades with and without MgO‐C recyclate from room temperature up to 1300 °C. No detrimental effect of the MgO‐C recyclates on bending strength is found. Instead, a decisive influence of the total carbon content is observed, with lower total carbon contents ...
Alexander Schramm +5 more
wiley +1 more source
Metoda Wyznaczania Pewnych Klas Przepływów za Pomocą Modelowania na Grupach Liego
Engineering Transactions, 1963 The method described concerns a class of geometrically simple flows. It is based on an analysis of the geometrical structure of the equations considered and the research of Lie transformation groups discerned by this structure.
P. Kucharczyk
doaj
Cubic Differentials in the Differential Geometry of Surfaces [PDF]
, 2017 We discuss the local differential geometry of convex affine spheres in $\re^3$ and of minimal Lagrangian surfaces in Hermitian symmetric spaces. In each case, there is a natural metric and cubic differential holomorphic with respect to the induced ...
Loftin, John, McIntosh, Ian
core
Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy
, 2014 Nurowski showed that any generic 2-plane field $D$ on a 5-manifold $M$ determines a natural conformal structure $c_D$ on $M$; these conformal structures are exactly those (on oriented $M$) whose normal conformal holonomy is contained in the (split, real)
Willse, Travis
core +1 more source