Results 51 to 60 of about 382 (182)
Generic ??-Riemannian submersions
As a generalization of semi-invariant xi(perpendicular to)-Riemannian submersions, we introduce the generic xi(perpendicular to)- Riemannian submersions. We focus on the generic xi(perpendicular to)-Riemannian submersions for the Sasakian manifolds with examples and investigate the geometry of foliations.
openaire +4 more sources
A systolic inequality with remainder in the real projective plane
The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric in the real projective plane.
Katz Mikhail G., Nowik Tahl
doaj +1 more source
Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications [PDF]
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.
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Brain–Computer Interfaces: The Dawn of a New Era in Disease Treatment
This study investigates the potential of brain–computer interface (BCI) technology in treating neuropsychiatric disorders, such as movement and communication barriers. Our review examines the history, signal paradigms, and diverse applications of BCI while also discussing ongoing research into novel materials and emerging technologies that offer ...
Yuqi Feng +11 more
wiley +1 more source
Almost contact metric 3-submersions
An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
doaj +1 more source
Eigenforms of the Laplacian for Riemannian V-submersions [PDF]
Let p: Z -> Y be a Riemannian V-submersion of compact V-manifolds. We study when the pull-back of an eigenform of the Laplacian on Y is an eigenform of the Laplacian on Z, and when the associated eigenvalue can change.
Gilkey, Peter +2 more
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Paracomplex Paracontact Pseudo-Riemannian Submersions [PDF]
We introduce the notion of paracomplex paracontact pseudo-Riemannian submersions from almost para-Hermitian manifolds onto almost paracontact metric manifolds. We discuss the transference of structures on total manifolds and base manifolds and provide some examples.
S. S. Shukla, Uma Shankar Verma
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On the tightness of left‐invariant contact structures
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley +1 more source
A Riemannian-geometry approach for modeling and control of dynamics of object manipulation under holonomic or non-holonomic constraints is presented.
Suguru Arimoto +3 more
doaj +1 more source
P-30 A note on an inequality of Riemannian submersion invariant [PDF]
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with totally geodesic fibers, then it cannot be isometrically immersed in any Riemannian manifold of non-positive sectional curvature as a minimal submanifold. B.Y.
Oh, Yun Myung
core

