G. David and S. Semmes Fractured fractals and broken dreams – self-similar geometry through metric and measure (Oxford Lecture Series in Mathematics and its Applications Vol. 7, Clarendon Press, Oxford, 1997), ix + 212pp., 0 19 850166 8, (hardback) £35. [PDF]
Proceedings of the Edinburgh Mathematical Society, 1999 K. J. Falconer
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On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type (Dissertation for Doctor of Sciences in Mathematics, defended on 15.06.2017 in Plovdiv University, Bulgaria) [PDF]
, 2017 Манчо Манев
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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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Spinorial Characterization of CR Structures, I [PDF]
, 2014 We characterize certain CR structures of arbitrary codimension (different from 3, 4 and 5) on Riemannian Spin$^c$ manifolds by the existence of a Spin$^c$ structure carrying a strictly partially pure spinor field.
Hererra, Rafael, Nakad, Roger
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An asymptotic dimension for metric spaces, and the 0-th Novikov-Shubin invariant
, 2001 A nonnegative number d_infinity, called asymptotic dimension, is associated with any metric space. Such number detects the asymptotic properties of the space (being zero on bounded metric spaces), fulfills the properties of a dimension, and is invariant ...
Guido, Daniele, Isola, Tommaso
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Geometric Reasoning with polymake
, 2005 The mathematical software system polymake provides a wide range of functions for convex polytopes, simplicial complexes, and other objects. A large part of this paper is dedicated to a tutorial which exemplifies the usage. Later sections include a survey
Gawrilow, Ewgenij, Joswig, Michael
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Geometric flows and (some of) their physical applications
, 2005 The geometric evolution equations provide new ways to address a variety of non-linear problems in Riemannian geometry, and, at the same time, they enjoy numerous physical applications, most notably within the renormalization group analysis of non-linear ...
Bakas, I.
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Classification of LRS Bianchi-I spacetime in context of f(T) gravity via its self-similar symmetry. [PDF]
PLoS OneSidaoui R +5 more
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Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction. [PDF]
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Quasi Sasakian manifold endowed with vanishing pseudo quasi conformal curvature tensor. [PDF]
MethodsXAlHusseini FH, Abood HM.
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