Results 191 to 200 of about 2,613,214 (229)

Positive curvature conditions on contractible manifolds. [PDF]

Math Ann
Sweeney P.
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The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research

Transactions of the Moscow Mathematical Society, 2016
The paper is devoted to the presentation of researches on geometry in the Moscow Mathematical Society. Geometry is meant here in a broader sense. The material is organized into the following subjects: manifolds with a metric, in particular manifolds with a Riemannian metric or Riemannian spaces, isometric realizations of abstract metrics as metrics of ...
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Connection between non-metric differential geometry and mathematical theory of imperfections

International Journal of Engineering Science, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical Foundations of Radial Coherential Dynamics — Paper I: Coherent Fields, Adjacency Structure, and Pre-Metric Geometry

This work establishes the first mathematical foundations of Radial Coherential Dynamics (RCD) without presupposing spacetime geometry. Version 1.1 introduces the adjacency structure ∼, resolving the dimensional-collapse problem of v1.0 and allowing spatial structure to emerge independently of coherence. Starting from four primitives — a coherence field,
Cerezo, Arturo, AI Collaborative Panel
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Fractal Geometry Metrics for Low-Energy Alcubierre Horizons: A Mathematical Framework for Mars Sample Return Optimization

Abstract  This engineering proposal outlines a theoretical framework for optimizing the Mars Sample Return (MSR) mission by applying supra-laminar quantum metrics. We investigate the possibility of stabilizing micro-Alcubierre horizons using fractal partition distributions of P(10^15), aiming to reduce the negative energy density requirements ...
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Boundary Compensation Mathematics IV BC-M IV: Finite-Resolution Solution Geometry, Quotient Tubes, and Metric-Entropy Profiles

Let (C, dX) be a declared class of admissible realizations, (D, dD) a data space, Π : C → D an observationmorphism, and d ∈ D an observed datum. At finite data precision, the natural object is not the exact fiberΠ−1(d) but the admissible solution tubeF(δ)d = {x ∈ C : dD(Π(x), d) ≤ δ}.After a preregistered equivalence relation ∼δ is imposed, one obtains
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Exact Linear Metric Generation from Symmetric Constitutive Deformations, Part II: Chronon Volumetric Mathematics, Relative Sector Geometry, and Spin-2 Matching

This paper studies exact scalar–photon metric generation within the Chronon Volumetric Mathematics (CVM) framework. Starting from the constitutive class identified in Part I, an exact optical metric is constructed for scalar-gradient deformations and analyzed through its determinant, inverse, and characteristic structure.
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