Results 71 to 80 of about 3,198,197 (181)

A survey on Inverse mean curvature flow in ROSSes

Complex Manifolds, 2017
In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces.
Pipoli Giuseppe
doaj   +1 more source

Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications

, 2017
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel ...
Sahin, Bayram, Sahin B.
core  

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Analysis and Geometry in Metric Spaces, 2016
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups.
Montefalcone Francescopaolo
doaj   +1 more source

Existence of isoperimetric regions in sub-Finsler nilpotent groups

Analysis and Geometry in Metric Spaces
We consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
doaj   +1 more source

RHG-DETR: Riemannian Hyper-Graph Transformer with Dynamic Receptive Fields for Detecting Special Targets in Degraded UAV Imagery

Remote Sensing
Special target detection in UAV remote sensing imagery is challenged by composite multi-type degradation, which collectively erodes target structure across every stage of a detection pipeline.
Kaipeng Wang, Guanglin He, Wenhao Kong, Yuzhe Fu, Zongze Li   +4 more
doaj   +1 more source

A sub-Riemannian Bonnet-Myers theorem for quaternionic contact structures

, 2017
We prove a sub-Riemannian version of Bonnet-Myers theorem that applies to any quaternionic contact manifold of dimension bigger than 7. The curvature condition is expressed in terms of bounds on the horizontal component of standard tensors of ...
Barilari, Davide, Ivanov, Stefan
core  

On the Geroch-Traschen class of metrics

, 2009
We compare two approaches to semi-Riemannian metrics of low regularity. The maximally 'reasonable' distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the
Steinbauer, R., Vickers, J.A.
core   +1 more source

A spinorial energy functional: Critical points and gradient flow [PDF]

, 2012
On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
Hartmut Weiss, Ammann, Bernd, Bernd Ammann, Weiss, Hartmut, Frederik Witt, Witt, Frederik   +5 more
core   +1 more source

Geodesic Equivalence in sub-Riemannian Geometry [PDF]

, 2016
Sub-Riemannian geometry is an intensively developing field of Mathematics lying at the intersection of Differential Geometry, Control Theory with application to Robotics, Hamil- tonian dynamics and PDEs.
Castillo, Andrew Zane
core   +1 more source

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Analysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source