Results 71 to 80 of about 63,840 (247)
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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On some tensors of six-dimensional Hermitian planar submanifolds of Cayley algebra
Дифференциальная геометрия многообразий фигурIn the present note, we consider six-dimensional Hermitian planar submanifolds of Cayley algebra. The almost Hermitian structure on such a six-dimensional submanifold is induced by means of so-called Brown — Gray three-fold vector cross products in ...
Banaru G. A.
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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A Kernel Based Neighborhood Discriminant Submanifold Learning for Pattern Classification
Journal of Applied Mathematics, 2014 We propose a novel method, called Kernel Neighborhood Discriminant Analysis (KNDA), which can be regarded as a supervised kernel extension of Locality Preserving Projection (LPP).
Xu Zhao
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Kodai Mathematical Journal, 1982 Let \(\bar M\) be a (2m+1)-dimensional Sasakian manifold with structure tensors (φ,ξ,η,g). We consider a Riemannian manifold isometrically immersed in \(\bar M\) with induced metric tensor field g.
Yano, Kentaro, Kon, Masahiro
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On virtual chirality of 3‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
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Certifying Anosov representations
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
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About a class of three-dimensional submanifolds in affine space A^6
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2017 A three-dimensional submanifold M in affine space A^6 is studied by the method of exterior forms. It is proven that the structure of total space generates a special type of affine connection on this submanifold; the structure equations of M are found.
Ofelya Arabyan
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A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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