Results 61 to 70 of about 127 (115)
Identifiability of points and rigidity of hypergraphs under algebraic constraints
Abstract The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique completability of partially‐filled tensors subject to rank conditions.
James Cruickshank +3 more
wiley +1 more source
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
An elementary approach to Wehrl‐type entropy bounds in quantitative form
Abstract We consider the problem of the stability (with sharp exponent) of the Lieb–Solovej inequality for symmetric SU(N)$SU(N)$ coherent states, which was obtained only recently by the authors. Here, we propose an elementary proof of this result, based on reformulating the Wehrl‐type entropy as a function defined on the unit sphere in Cd$\mathbb {C ...
Fabio Nicola +2 more
wiley +1 more source
Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds
In this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed +2 more
doaj +1 more source
Submersions of hemi-slant submanifolds
In this paper, we introduce Riemannian submersions of a hemi-slant submanifold of a Kähler manifold by observing the integrability of the anti-invariant distribution of a hemi-slant submanifold and the integrability of the vertical distribution of a Riemannian submersion.
Bayram Şahin +2 more
openaire +1 more source
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Isotopy and equivalence of knots in 3‐manifolds
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold
In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.
KHUSHWANT SINGH +2 more
doaj
Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bundle into a proper slant distribution and an arbitrary ambiguous ...
Md Aquib
doaj +1 more source
Property of the curvatures of integrable poly-Norden manifolds and their submanifolds [PDF]
In the present paper, almost poly-Norden and locally almost poly-Norden manifolds are investigated. Ricci tensor and Riemannian curvature of integrable poly-Norden manifolds are studied. Geometric properties of submanifolds of these types of manifolds
Masoumeh Tofighi +1 more
doaj +1 more source

