Results 21 to 30 of about 746,310 (284)
Axiomatic differential geometry I-1 - towards model cathegories of differential geometry [PDF]
, 2012 In this paper we give an axiomatization of di erential geometry comparable to model categories for homotopy theory.
Nishimura, Hirokazu
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Differential Invariants in a General Differential Geometry [PDF]
Proceedings of the National Academy of Sciences, 1937 The study of general differential geometries in which the "geometric space" is a Hausdorff topological space~), while the "coordinate space" i~ a Banach space 3), has been initiated recently by one of us ~). The theory includes as special cases not only the finite dimensional but also the infinite dimensional 5) Riemannian and Non-Riemannian geometries.
MichaI, A.D., Hyers, D.H.
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Multilocal invariants for the classical groups
International Journal of Mathematics and Mathematical Sciences, 2003 Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]
Sahand Communications in Mathematical AnalysisIn the present paper, we introduce the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type for the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi +2 more
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To the 85th Anniversary of the Department of Geometry of ISU
Известия Иркутского государственного университета: Серия "Математика", 2023 The article provides a brief overview of the main directions of the history of scientific and pedagogical activity and the achievements of the Department of Geometry of Irkutsk State University for 1938-2012 years.
O.V. Kuzmin, L. A. Osipenko
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POINTLESS SPACES IN GENERAL RELATIVITY [PDF]
, 1995 The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points.
C. J. Isham +10 more
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Functional Segmentation for Preoperative Liver Resection Based on Hepatic Vascular Networks
IEEE Access, 2021 Successful liver resection relies on accurate estimation of future liver remnant volume (FLRV). According to Couinaud's scheme, a liver is composed of eight functionally independent segments, each of which has its own vascular in- and out-flow tracks ...
Doan Cong Le +3 more
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Differential Geometry of Hydrodynamic Vlasov Equations [PDF]
, 2007 We consider hydrodynamic chains in $(1+1)$ dimensions which are Hamiltonian with respect to the Kupershmidt-Manin Poisson bracket. These systems can be derived from single $(2+1)$ equations, here called hydrodynamic Vlasov equations, under the map $A^n =\
Andrea Raimondo +17 more
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Differential geometry of gerbes
Advances in Mathematics, 2005 78 pages. Uses XyPic. A number of significant additions have been incorporated into this version. This includes a description of the coboundary relations in full generality, as well as a Cech-de Rham interpretation of the cocycle and coboundary relations for the 3-curvature of a gerbe with connection.
Breen, Lawrence, Messing, William
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Using Differential Geometry to Revisit the Paradoxes of the Instantaneous Frequency
IEEE Open Access Journal of Power and Energy, 2022 This paper proposes a general framework to interpret the concept of Instantaneous Frequency (IF) in three-phase systems. The paper first recalls the conventional frequency-domain analysis based on the Fourier transform as well as the definition of IF ...
Federico Milano +4 more
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