Results 31 to 40 of about 26,676 (164)

Local Wintgen ideal submanifolds

This paper is dedicated to the local parametric classification of Wintgen ideal submanifolds in space forms. These submanifolds are characterized by the pointwise attainment of equality in the DDVV inequality, which relates the scalar curvature, the length of the mean curvature vector field and the normal curvature tensor.
M Dajczer, Th Vlachos
openaire   +3 more sources

Brieskorn submanifolds, local moves on knots, and knot products [PDF]

Journal of Knot Theory and Its Ramifications, 2019
We first prove the following: Let [Formula: see text] and [Formula: see text]. Let [Formula: see text] and [Formula: see text] be closed, oriented, [Formula: see text]-dimensional [Formula: see text]-connected, simple submanifolds of [Formula: see text].
Kauffman, Louis H., Ogasa, Eiji
openaire   +3 more sources

On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N

, 2007
In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of $\Co^{N}$. As a corollary, we present multi-dimensional generalizations of an important result of Coman and Poletsky on Bernstein ...
A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Brudnyi, A. Sadullaev, A.J. Poorten van der, Alexander Brudnyi, B.Y. Levin, C. Fefferman, C. Fefferman, D. Coman, F. Nazarov, F. Nazarov, J. Bourgain, J.A. Jenkins, L.P. Bos, M. Gromov, M.I. Ganzburg, N. Roytwarf, R. Kannan, R. Tijdeman, R. Tijdeman, V. Katznelson, V. Logvinenko, W. Pawlucki, W. Ple’sniak, Y. Brudnyi, Y. Brudnyi, Y. Brudnyi, Y. Ilyashenko   +32 more
core   +1 more source

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
wiley   +1 more source

The weak (1,1) boundedness of Fourier integral operators with complex phases

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley   +1 more source

Exponential networks for linear partitions

SciPost Physics
Previous work has given proof and evidence that BPS states in local Calabi-Yau 3-folds can be described and counted by exponential networks on the punctured plane, with the help of a suitable non-abelianization map to the mirror curve.
Sibasish Banerjee, Mauricio Romo, Raphael Senghaas, Johannes Walcher
doaj   +1 more source

Chen's conjecture and epsilon-superbiharmonic submanifolds of Riemannian manifolds

, 2013
B.-Y. Chen famously conjectured that every submanifold of Euclidean space with harmonic mean curvature vector is minimal. In this note we establish a much more general statement for a large class of submanifolds satisfying a growth condition at infinity.
Wheeler, Glen
core   +1 more source

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source

Locally symmetric submanifolds lift to spectral manifolds

, 2012
In this work we prove that every locally symmetric smooth submanifold gives rise to a naturally defined smooth submanifold of the space of symmetric matrices, called spectral manifold, consisting of all matrices whose ordered vector of eigenvalues belongs to the locally symmetric manifold.
Daniilidis, Aris, Malick, Jerome, Sendov, Hristo   +2 more
openaire   +4 more sources