Weyl manifold and quantized connection.
Yoshioka, A. (1999)
Lobachevskii Journal of Mathematics
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Yoshioka, A. (1999)
Lobachevskii Journal of Mathematics
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Głogowska, Małgorzata (2002)
Publications de l'Institut Mathématique. Nouvelle Série
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Fumio Narita (2007)
Colloquium Mathematicae
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We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein-Weyl structure. Moreover, we investigate the Einstein-Weyl structure of canonical variations of the total space with Einstein-Weyl structure.
A. Szybiak, Trán dinh Vién (1973)
Annales Polonici Mathematici
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Hiricǎ, I.E., Nicolescu, L. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Bernd Carl, Andreas Defant, Doris Planer (2014)
Studia Mathematica
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Given an infinite-dimensional Banach space Z (substituting the Hilbert space ℓ₂), the s-number sequence of Z-Weyl numbers is generated by the approximation numbers according to the pattern of the classical Weyl numbers. We compare Weyl numbers with Z-Weyl numbers-a problem originally posed by A. Pietsch. We recover a result of Hinrichs and the first author showing that the Weyl numbers are in a sense minimal. This emphasizes the outstanding role of Weyl numbers within the theory of eigenvalue...
Mourad Oudghiri (2006)
Studia Mathematica
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We study the stability of a-Weyl's theorem under perturbations by operators in some known classes. We establish in particular that if T is a finite a-isoloid operator, then a-Weyl's theorem is transmitted from T to T + R for every Riesz operator R commuting with T.
B.P. Duggal (2002)
Matematički Vesnik
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De, U.C., Sengupta, Joydeep (1999)
Novi Sad Journal of Mathematics
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Christoph Schmoeger (1998)
Extracta Mathematicae
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Xiaohong Cao, Maozheng Guo, Bin Meng (2004)
Studia Mathematica
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"Generalized Weyl's theorem holds" for an operator when the complement in the spectrum of the B-Weyl spectrum coincides with the isolated points of the spectrum which are eigenvalues; and "generalized a-Weyl's theorem holds" for an operator when the complement in the approximate point spectrum of the semi-B-essential approximate point spectrum coincides with the isolated points of the approximate point spectrum which are eigenvalues. If T or T* is p-hyponormal or M-hyponormal then for...
António M. Caetano (1991)
Forum mathematicum
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Mobin Ahmad (2010)
Matematički Vesnik
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Simpson, Todd (1996)
The Electronic Journal of Combinatorics [electronic only]
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Rigal, Laurent (1996)
Beiträge zur Algebra und Geometrie
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Hülya Bağdatlı Yılmaz (2011)
Annales Polonici Mathematici
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The object of the present paper is to study weakly symmetric manifolds admitting a type of semi-symmetric non-metric connection.
Mourad Oudghiri (2004)
Studia Mathematica
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We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or its adjoint has the single-valued extension property. We establish the spectral mapping theorem for the Weyl spectrum, and we show that Browder's theorem holds for f(T) for every f ∈ 𝓗 (σ(T)). Also, we give necessary and sufficient conditions for such T to obey Weyl's theorem. Weyl's theorem in an important class of Banach space operators is also studied.
Füsun Özen Zengin, S. Aynur Uysal, Sezgin Altay Demirbag (2011)
Annales Polonici Mathematici
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We prove that if the sectional curvature of an n-dimensional pseudo-symmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.