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A Study of Clairaut Semi-Invariant Riemannian Maps from Cosymplectic Manifolds [PDF]

open access: goldAxioms, 2022
In the present note, we characterize Clairaut semi-invariant Riemannian maps from cosymplectic manifolds to Riemannian manifolds. Moreover, we provide a nontrivial example of such a Riemannian map.
Yanlin Li   +4 more
doaj   +4 more sources

On h-Quasi-Hemi-Slant Riemannian Maps [PDF]

open access: goldAxioms, 2022
In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-
Mohd Bilal   +4 more
doaj   +2 more sources

CIRCLES ALONG A RIEMANNIAN MAP AND CLAIRAUT RIEMANNIAN MAPS

open access: yesBulletin of the Korean Mathematical Society, 2017
We first extend Yano-Nomizu's theorem, which characterizes extrinsic spheres in a Riemannian manifold, for Riemannian maps. Then we introduce Clairaut Riemannian maps, give an example and obtain necessary and sufficient conditions for a Riemannian map to be Clairaut type.
Bayram Sahin
exaly   +4 more sources

Semi-slant Riemannian maps [PDF]

open access: greenQuaestiones Mathematicae, 2012
12 ...
Kwang-Soon Park
openalex   +4 more sources

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

open access: goldJournal 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   +5 more
doaj   +2 more sources

A Riemannian Self-Organizing Map [PDF]

open access: yesLecture Notes in Computer Science, 2009
We generalize the classic self-organizing map (SOM) in flat Euclidean space (linear manifold) onto a Riemannian manifold. Both sequential and batch learning algorithms for the generalized SOM are presented. Compared with the classical SOM, the most novel feature of the generalized SOM is that it can learn the intrinsic topological neighborhood ...
Edwin R Hancock, William A P Smith
exaly   +2 more sources

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