Results 61 to 70 of about 373,220 (224)

ON THE LIFTS OF SEMI-RIEMANNIAN METRICS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1994
In this paper, we extend Sasaki metric for tangent bundle of a Riemannian manifold and Sasaki-Mok metric for the frame bundle of a Riemannian manifold [I] to the case of a semi-Riemannian vector bundle over a semi- Riemannian manifold. In fact, if E is a
doaj  

Distributed SE(d)$$ \mathrm{SE}(d) $$ Formation Control of Multi‐Agent Systems Using Relative Measurements

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This study develops a solution to the distributed SE(d)$$ \mathrm{SE}(d) $$ formation control problem of multi‐agent systems using only relative measurements between agents. In this problem, poses, that is, orientations and positions, of the agents are expected to achieve desired ones.
Chunlai Peng, Kazunori Sakurama, Nichika Miyano, Mitsuhiro Yamazumi, Taiga Sugawara   +4 more
wiley   +1 more source

Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds

Journal of Inequalities and Applications
We establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Tanveer Fatima, Reetu Maini, Garima Gupta, Rakesh Kumar, Rashmi Sachdeva, Rachna Rani   +5 more
doaj   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces

, 2012
We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy is of dimension at least 14. Due to an example constructed in a previous article by Oliver Baues and the author, this is a sharp bound.
Baues, Baues, Borel, Corwin, O’Neill, Raghunathan, Wolf, Wolf, Wolfgang Globke   +8 more
core   +1 more source

A complex network perspective on brain disease

Biological Reviews, EarlyView.
ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley   +1 more source

The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions

Mathematics, 2019
In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok   +2 more
doaj   +1 more source

Canonical connection on a class of Riemannian almost product manifolds

, 2012
The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non ...
A. Gray, A. Lichnerowicz, A. Lichnerowicz, A.M. Naveira, D. Mekerov, Dimitar Mekerov, Dobrinka Gribacheva, H. Hayden, K. Yano, M. Staikova, S. Kobayashi, V. Mihova   +11 more
core   +1 more source

Dynamic and low-dimensional modeling of brain functional connectivity on Riemannian manifolds

NeuroImage
Modeling brain functional connectivity (FC) is key in investigating brain functions and dysfunctions. FC is typically quantified by symmetric positive definite (SPD) matrices that are located on a Riemannian manifold rather than the regular Euclidean ...
Mingyu Wang, Yueming Wang, Yuxiao Yang
doaj   +1 more source

Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons

Mathematics
In this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +1 more source