ANTI-INVARIANT RIEMANNIAN SUBMERSIONS FROM LOCALLY CONFORMAL KAEHLER MANIFOLDS [PDF]
Recently, Sahin [10] studied the anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. In present work, these notions of anti-invariant and Lagrangian Riemannian submersions have been extended to locally ...
Choudhary, Majid Ali +1 more
core +1 more source
An elementary approach to Wehrl‐type entropy bounds in quantitative form
Abstract We consider the problem of the stability (with sharp exponent) of the Lieb–Solovej inequality for symmetric SU(N)$SU(N)$ coherent states, which was obtained only recently by the authors. Here, we propose an elementary proof of this result, based on reformulating the Wehrl‐type entropy as a function defined on the unit sphere in Cd$\mathbb {C ...
Fabio Nicola +2 more
wiley +1 more source
Text‐to‐image generation method based on cognitive‐inspired bidirectional attention mechanisms
This study proposes a novel text‐to‐image diffusion model based on a hybrid Top‐down and Bottom‐up bidirectional attention mechanism, which has achieved superior performance in multimodal fusion and high‐quality image generation. Building upon the synergistic integration of GSC‐LKA visual feature extraction and MI‐IE dynamic semantic guidance, we ...
Yunzhi Tian +8 more
wiley +1 more source
f-Biharmonic Submanifolds in Space Forms and f-Biharmonic Riemannian Submersions from 3-Manifolds
f-biharmonic maps are generalizations of harmonic maps and biharmonic maps. In this paper, we give some descriptions of f-biharmonic curves in a space form.
Ze-Ping Wang, Li-Hua Qin
doaj +1 more source
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
Biharmonic curves along Riemannian submersions
The purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
doaj +1 more source
Semi-invariant semi-Riemannian submersions
In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kahler manifolds onto semi-Riemannian manifolds. Wegive some examples, investigate the geometry of foliations that arise fromthe de…nition of a semi-Riemannian submersion and check the harmonicity ofsuch submersions.
AKYOL, Mehmet Akif, GÜNDÜZALP, Yılmaz
openaire +2 more sources
Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds
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 +1 more source
H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds [PDF]
summary:We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal
Park, Kwang Soon
core +1 more source
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

