Results 61 to 70 of about 3,675 (265)

Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]

ریاضی و جامعه
This paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj   +1 more source

On the intrinsic geometry of a unit vector field [PDF]

, 2002
summary:We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric.
Yampolsky, A.
core  

K\"ahler manifolds with geodesic holomorphic gradients

, 2017
A vector field on a Riemannian manifold is called geodesic if its integral curves are reparametrized geodesics. We classify compact K\"ahler manifolds admitting nontrivial real-holomorphic geodesic gradient vector fields that satisfy an additional ...
Derdzinski, Andrzej, Piccione, Paolo
core   +1 more source

Some aspects of normal curve on smooth surface under isometry

Demonstratio Mathematica
The normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet, Sharma Sandeep, Bhardwaj Arun Kumar   +2 more
doaj   +1 more source

The squint Moon and the witch ball

New Journal of Physics, 2015
A witch ball is a reflecting sphere of glass. Looking into the disk that it subtends, the whole sky can be seen at one glance. This feature can be exploited to see and photograph the squint Moon illusion, in which the direction normal to the illuminated ...
M V Berry
doaj   +1 more source

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source

Meander‐Bend Erosion Dynamics Along a Gravel‐Bed River: Insights From Short‐Term UAV Monitoring

River Research and Applications, EarlyView.
ABSTRACT Riverbank erosion is a natural process in meandering rivers that contributes to sediment supply and geomorphic diversity, yet it can threaten infrastructure and human activities within the floodplain. Recently, many studies have used high‐resolution remote sensing technologies to measure bank erosion, but they often focus on technical aspects ...
Katarina Pavlek, Mateo Gašparović, Tomáš Galia   +2 more
wiley   +1 more source

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
doaj   +1 more source

Hurricane‐induced risk contagion in commercial real estate: Evidence from Hurricane Sandy

Real Estate Economics, EarlyView.
Abstract This study examines how hurricane‐induced destruction affects the prices of nearby undamaged commercial real estate properties, using Hurricane Sandy as a natural experiment. Using Real Capital Analytics transaction records spatially merged with Federal Emergency Management Agency building‐level damage data, we empirically employ a difference ...
Lu Fang, Lingxiao Li, David Scofield, Abdullah Yavas   +3 more
wiley   +1 more source

Conformal vector fields on Finsler spaces

, 2013
Here, it is shown that every vector field on a Finsler space which keeps geodesic circles invariant is conformal. A necessary and sufficient condition for a vector field to keep geodesic circles invariant, known as concircular vector fields, is obtained.
Bidabad, B., Joharinad, P.
core   +1 more source