Results 61 to 70 of about 26,118 (326)

Totally real submanifolds in a complex projective space

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below.
Liu Ximin
doaj   +1 more source

Totally Geodesic Subalgebras of Nilpotent Lie Algebras

Journal of Lie Theory, 2013
A metric Lie algebra g is a Lie algebra equipped with an inner product. A subalgebra h of a metric Lie algebra g is said to be totally geodesic if the Lie subgroup corresponding to h is a totally geodesic submanifold relative to the left-invariant Riemannian metric defined by the inner product, on the simply connected Lie group associated to g.
Cairns, Grant, Hinić Galić, Ana, Nikolayevsky, Yuri   +2 more
openaire   +3 more sources

Towards Advanced Intelligent and Perceptive Soft Grippers

Advanced Intelligent Systems, EarlyView.
Implementing soft yet strong and intelligent soft grippers request innovative and creative solutions in designing soft bodies and seamlessly integrating actuated systems with hierarchical sensing. This review systematically analyses soft grippers with a deep understanding of core components, from fundamental design principles to actuation and sensing ...
Haneul Kim, Hayeon Shin, Seik Park, Changbeom Shim, Seonggun Joe   +4 more
wiley   +1 more source

The Geometry of Invariant Submanifolds of a (κ,μ)-Paracontact Metric Manifold

International Journal of Pioneering Technology and Engineering, 2022
In this article, we consider an invariant submanifold of a -paracontact metric manifold. We research the conditions   and  for an invariant submanifold of a paracontact metric manifold.
Pakize Uygun, Süleyman Dirik, Mehmet Atçeken, Tugba Mert   +3 more
doaj   +1 more source

Totally geodesic submanifolds of the complex and the quaternionic 2-Grassmannians

, 2007
In this article, I classify the totally geodesic submanifolds in the complex 2-Grassmannians and in the quaternionic 2-Grassmannians. It turns out that for both of these spaces, the earlier classification of maximal totally geodesic submanifolds in ...
Klein, Sebastian
core   +2 more sources

Guiding and Manipulating Light Fields in Microstructured Liquid Crystals

Advanced Physics Research, EarlyView.
This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang, Yong‐shuai Li, Jin‐hui Chen   +2 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]

Surveys in Mathematics and its Applications, 2006
We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
doaj  

Postmortem MRI reveals distinct structural features in sudden unexpected death in epilepsy

Epilepsia Open, EarlyView.
Abstract Magnetic resonance imaging (MRI) abnormalities have been reported in individuals who later die from sudden unexpected death in epilepsy (SUDEP), but their specificity and predictive value remain uncertain. Postmortem MRI (PM‐MRI) offers a unique opportunity to distinguish structural features associated with SUDEP from changes related to ...
Andrea Hill, Fenglai Xiao, Maria Thom, David Maudgil, Hannah Bergman, John S. Duncan, Owen J. Arthurs, Josemir W. Sander, Beate Diehl, Matthias J. Koepp   +9 more
wiley   +1 more source

On Surfaces of Exceptional Lorentzian Lie Groups with a Four-Dimensional Isometry Group

Mathematics
In total, geodesic surfaces and their generalizations, namely totally umbilical and parallel surfaces, are well-known topics in Submanifold Theory and have been intensively studied in three-dimensional ambient spaces, both Riemannian and Lorentzian.
Giovanni Calvaruso, Lorenzo Pellegrino
doaj   +1 more source