Results 81 to 90 of about 228,756 (169)
Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions
Mathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos +2 more
wiley +1 more source
Noncommutative spectral geometry of Riemannian foliations [PDF]
arXiv, 1997 We construct spectral triples in a sense of noncommutative differential geometry, associated with a Riemannian foliation on a compact manifold, and describe its dimension spectrum.
arxiv
MMSE‐based passive beamforming for reconfigurable intelligent surface aided millimeter wave MIMO
IET Communications, Volume 19, Issue 1, January/December 2025.Passive beamforming at reconfigurable intelligent surface (RIS) in RIS‐aided millimeter wave multiple‐input multiple‐output (mmWave MIMO) is designed together with precoder and combiner through joint optimization problem to minimize the mean square error between the transmit signal and the estimate of signal at the receiver. The optimization problem is
Prabhat Raj Gautam +2 more
wiley +1 more source
Rigidity and Flexibility in Poisson Geometry [PDF]
arXiv, 2005 We discuss several rigidity and flexibility phenomena in the context of Poisson geometry.
arxiv
Weil-Petersson Metric Geometry Quick Overview [PDF]
arXiv, 2007 A quick overview is provided on the current development of the WP metric geometry.
arxiv
Characteristic Laplacian in sub-Riemannian geometry
, 2013 We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it is not hypoelliptic in general and does not respect the bigrading on forms
Daniel, Jeremy, Ma, Xiaonan
core
Curvature properties of Weyl geometries [PDF]
arXiv, 2010 We examine relations between geometry and the associated curvature decompositions in Weyl geometry.
arxiv
Galois theory and projective geometry [PDF]
arXiv, 2011 We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture.
arxiv
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
, 2010 We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the exponential map which allow us to describe the conjugate locus and the ...
Bonnard, Bernard +3 more
core +1 more source
Rationality in Differential Algebraic Geometry [PDF]
arXiv, 2014 Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
arxiv