Results 51 to 60 of about 384 (152)

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

Formal Manifolds: Local Structure of Morphisms, and Formal Submanifolds

Acta Mathematica Sinica, English Series
This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In three previous papers, we introduce the notion of formal manifolds and study their basic theory, focusing on function spaces and Poincare's lemma.
Chen, Fulin, Sun, Binyong, Wang, Chuyun
openaire   +2 more sources

THE RIGIDITY OF MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC SPACE [PDF]

Bulletin of the Korean Mathematical Society, 2013
Abstract. In the present paper, we discuss the rigidity phenomenon ofclosed minimal submanifolds in a locally symmetric Riemannian manifoldwith pinched sectional curvature. We show that if the sectional curvatureof the submanifold is no less than an explicitly given constant, then eitherthe submanifold is totally geodesic, or the ambient space is a ...
openaire   +1 more source

Local and global conformal invariants of submanifolds

44 ...
Case, Jeffrey S., Khaitan, Ayush, Lin, Yueh-Ju, Tyrrell, Aaron J., Yuan, Wei   +4 more
openaire   +2 more sources

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

Classification of Rank-One Submanifolds. [PDF]

Results Math, 2023
Raffaelli M.
europepmc   +1 more source

Ruled CR-submanifolds of locally conformal Kähler manifolds

Journal of Geometry and Physics, 2012
The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal Kähler manifold.
openaire   +2 more sources

Minimal Submanifolds and Waists of Locally Symmetric Spaces

We study the higher expansion properties of locally symmetric spaces, with a particular focus on octonionic hyperbolic manifolds. We show that codimension two minimal submanifolds of compact octonionic locally symmetric spaces must have large volume, at least linear in the volume of the ambient space.
Fraczyk, Mikolaj, Lowe, Ben
openaire   +2 more sources

The Geometry of Generalized Likelihood Ratio Test. [PDF]

Entropy (Basel), 2022
Cheng Y, Wang H, Li X.
europepmc   +1 more source