Results 71 to 80 of about 5,734,057 (175)
Multisections of higher‐dimensional manifolds
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract Generalizing Heegaard splittings of 3‐manifolds and Gay–Kirby trisections of 4‐manifolds, we consider multisections of higher‐dimensional smooth (or PL) closed orientable manifolds, namely decompositions into 1‐handlebodies whose subcollections intersect along 1‐handlebodies, with global intersection a closed surface.
Fathi Ben Aribi +3 more
wiley +1 more source
Homogeneous hypersurfaces and totally geodesic submanifolds [PDF]
, 2022 This Ph.D. thesis deals with the study of certain classes of submanifolds in the presence of symmetry. Namely, results have been derived regarding the theory of submanifolds in Riemannian homogeneous spaces with a special emphasis on symmetric spaces.
Rodríguez Vázquez, Alberto
core
On the detection of knots by their traces in high dimensions
Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.Abstract For every n⩾4$n\geqslant 4$, we demonstrate the existence of non‐isotopic, smooth (n−2)$(n-2)$‐knots in Sn$S^n$ with diffeomorphic traces. We give two proofs: the first by generalising the RBG link construction to all dimensions, and the second as an application of work of Plotnick.
Valentina Bais +10 more
wiley +1 more source
Submanifolds associated with graphs
, 2004 In this paper we present an interesting relationship between graph theory and differential geometry by defining submanifolds of almost Hermitian manifolds associated with certain kinds of graphs.
Fernández Fernández, Luis Manuel +1 more
core +1 more source
Visibility and Intersection Density for Boolean Models in Hyperbolic Space
Mathematische Nachrichten, Volume 299, Issue 9, Page 2542-2565, September 2026.ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler +2 more
wiley +1 more source
Hopf fibrations and totally geodesic submanifolds [PDF]
, 2023 We classify totally geodesic submanifolds in Hopf-Berger spheres, which constitute a special family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations.
Rodríguez-Vázquez, Alberto +1 more
core +1 more source
Classification results for biharmonic submanifolds in spheres [PDF]
, 2008 We study biharmonic submanifolds of the Euclidean sphere that satisfy certain geometric properties. We classify: (i) the biharmonic hypersurfaces with at most two distinct principal curvatures; (ii) the conformally at biharmonic hypersurfaces. We obtain
Balmus, Adina +6 more
core +1 more source
Global existence of submanifolds of solutions of nonlinear second order differential systems
Differential and Integral Equations, 1995 Let \(G= G(u,p)\) be a \(C^ 1(\mathbb{R}^ n\times \mathbb{R}^ n)\) function, strictly convex with respect to \(p\) for every \(u\) and \(G(u, 0)= 0\), \(G_ p(u, 0)= 0\). Moreover, let \(F= F(t, u)\) be of class \(C^ 1(\mathbb{R}^ n\times \mathbb{R}^ n)\) and \(Q= Q(t,u,p)\) be continuous on \(\mathbb{R}_+\times \mathbb{R}^ n\times \mathbb{R}^ n\) with ...
openaire +3 more sources
Warped product contact CR-submanifolds of globally framed f-manifolds with Lorentz metric
, 2012 arXiv admin note: text overlap with arXiv:1106 ...
Singh, Khushwant, Bhatia, S. S.
openaire +2 more sources
A General Type of Almost Contact Manifolds [PDF]
Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors.
Catalin Angelo Ioan
core