Results 71 to 80 of about 82,161 (203)

CMC Hypersurfaces on Riemannian and Semi-Riemannian Manifolds

Mathematical Physics, Analysis and Geometry, 2011
In this paper we show explicit examples of several families of immersions with constant mean curvature and non constant principal curvatures, in semi-riemannian manifolds with constant sectional curvature. In particular, we prove that every h in [-1,-2 sqrt{n-1}/n) can be realized as the constant curvature of a complete immersion of S_1^{n-1} x R in ...
openaire   +2 more sources

Parallel spinors and holonomy groups

, 1999
In this paper we complete the classification of spin manifolds admitting parallel spinors, in terms of the Riemannian holonomy groups. More precisely, we show that on a given n-dimensional Riemannian manifold, spin structures with parallel spinors are in
Andrei Moroianu, Beauville A., Boyer C. P., Bär C., Friedrich T., Galicki K., Gallot S., Hitchin N., Joyce D. D., McInnes B., McInnes B., McInnes B., Uwe Semmelmann, Wang M. Y.   +13 more
core   +3 more sources

Density‐Valued ARMA Models by Spline Mixtures

Journal of Time Series Analysis, EarlyView.
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
Yasumasa Matsuda, Rei Iwafuchi
wiley   +1 more source

On Noncommutative and semi-Riemannian Geometry

, 2002
We introduce the notion of a semi-Riemannian spectral triple which generalizes the notion of spectral triple and allows for a treatment of semi-Riemannian manifolds within a noncommutative setting.
Alexander Strohmaier, Baum, Bognar, Cipriani, Connes, Connes, Dixmier, Gracia-Bondia, Hawkins, Kalau, Kastler, Kopf, Landi, O’Neill, Parfionov, Reed, Taylor   +16 more
core   +3 more sources

Spatial depth for data in metric spaces

Scandinavian Journal of Statistics, Volume 53, Issue 2, Page 684-711, June 2026.
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Parallal Spinors on Pseudo-Riemannian SpinC Manifolds

, 2005
We describe, by their holonomy groups, all simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors.
Aziz Ikemakhen, Baum, Berger, Berger, Friedrich, Ikemakhen, Kobayashi, Lawson, Moroianu, Wang   +9 more
core   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

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

On Non‐Compact Extended Bach Solitons

Mathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source