Results 11 to 20 of about 87,606 (230)
Discrete Riemannian Geometry [PDF]
Journal of Mathematical Physics, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
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Riemannian Geometry of Noncommutative Surfaces [PDF]
Journal of Mathematical Physics, 2008 A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory.
A. Tureanu +7 more
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The geometry of Riemannian spaces [PDF]
Transactions of the American Mathematical Society, 1934 The primary purpose of this paper is to expose, in as simple and clear a form as is possible, the fundamentals of the geometric structure of a Riemannian space. It is a general truth that the methods which pierce most deeply into the heart of a geometric theory are invariant methods, that is, methods which are independent of the choice of the ...
W. C. Graustein
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A bridge between complex geometry and Riemannian geometry [PDF]
Proceedings of the American Mathematical Society, 1993 Every complex manifold M n {M^n} with holomorphic metric can be obtained (at least locally) from a complex manifold E 2 ∙ n − 2 {E^{2 \bullet n - 2}} and one of its C
Antonio Cassa
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Riemannian Geometry on Quantum Spaces [PDF]
International Journal of Modern Physics A, 1997 An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended to complex manifolds. Examples include the quantum sphere, the complex quantum projective space and the two-sheeted space.
Pei-Ming Ho
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Aspects of global Riemannian geometry [PDF]
Bulletin of the American Mathematical Society, 1999 In this article we survey some of the developments in Riemannian geometry. We place special emphasis on explaining the relationship between curvature and topology for Riemannian manifolds with lower curvature bounds.
Peter Petersen
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Applied Sciences, 2023 Electroencephalography (EEG) signals have diverse applications in brain-computer interfaces (BCIs), neurological condition diagnoses, and emotion recognition across healthcare, education, and entertainment domains.
Zubaidah Al-Mashhadani +4 more
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RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS [PDF]
Taiwanese Journal of Mathematics, 2001 The Lagrangian submanifolds (LS) in Kähler manifolds and in the nearly Kähler six-sphere are studied from Riemannian point of view. The basic properties of LS are reviewed and the Riemannian obstructions to Lagrangian isometric immersions are searched. Optimal inequalities between scalar curvature, Ricci curvature, shape operator and mean curvature are
Bang‐Yen Chen
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Poisson–Riemannian geometry [PDF]
Journal of Geometry and Physics, 2017 We study noncommutative bundles and Riemannian geometry at the semiclassical level of first order in a deformation parameter λ, using a functorial approach. This leads us to field equations of ‘Poisson–Riemannian geometry’ between the classical metric, the Poisson bracket and a certain Poisson-compatible connection needed as initial data for the ...
Edwin J. Beggs, Shahn Majid
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