Results 61 to 70 of about 562 (178)

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka, Charles Strickland‐Constable, Fridrich Valach   +2 more
wiley   +1 more source

Simultaneous desingularizations of Calabi-Yau and special Lagrangian 3-folds with conical singularities. I. The gluing construction.

, 2009
In this paper we extend our previous results on resolving conically singular Calabi–Yau 3-folds (Chan, Quart. J. Math. 57:151–181, 2006; Quart. J.
Chan, YM
core   +1 more source

Locally symmetric immersions [PDF]

, 1997
summary:We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic ...
González-Dávila, M. C., González-Dávila, J. C., Vanhecke, L.   +2 more
core   +1 more source

The universal family of punctured Riemann surfaces is Stein

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley   +1 more source

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +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

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

The gap phenomenon for extremal submanifolds in a sphere

, 2011
Let x:M→Sn+p be an n-dimensional submanifold in the unit sphere Sn+p and denote by H and S the mean curvature and squared length of the second fundamental form of M, respectively. M is called an extremal submanifold if it is a critical point with respect
Dengyun Yang, Yang, Dengyun, Hongwei Xu, Xu, Hongwei   +3 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