Results 101 to 110 of about 161 (146)

The exponential map of a weak Riemannian Hilbert manifold

Illinois Journal of Mathematics, 2004
12 ...
openaire   +5 more sources

RHG-DETR: Riemannian Hyper-Graph Transformer with Dynamic Receptive Fields for Detecting Special Targets in Degraded UAV Imagery

Remote Sensing
Special target detection in UAV remote sensing imagery is challenged by composite multi-type degradation, which collectively erodes target structure across every stage of a detection pipeline.
Kaipeng Wang, Guanglin He, Wenhao Kong, Yuzhe Fu, Zongze Li   +4 more
doaj   +1 more source

Geodesic Dynamics for Constrained State-Space Models on Riemannian Manifolds

Mathematics
We present a geodesic dynamics framework for discrete-time state evolution on the unit sphere SN−1 that maintains exact unit-norm constraints through Riemannian exponential mapping.
Tianyu Wang, Xinghua Xu, Shaohua Qiu, Changchong Sheng   +3 more
doaj   +1 more source

Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type

Symmetry, Integrability and Geometry: Methods and Applications, 2006
The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non-stretching curves in Riemannian symmetric spaces G/SO(N).
Stephen C. Anco
doaj  

General Casorati inequalities and implications for Riemannian maps and Riemannian submersions

Journal of Mathematical Analysis and Applications
This paper presents general forms of Casorati inequalities for Riemannian maps and Riemannian submersions between Riemannian manifolds. Using these general forms, we obtain Casorati inequalities for Riemannian maps (resp. submersions) whose target (resp. source) spaces are generalized complex and generalized Sasakian space forms.
Ravindra Singh, Kiran Meena, Kapish Chand Meena   +2 more
openaire   +2 more sources

Clairaut slant Riemannian maps to Kähler manifolds

International Journal of Geometric Methods in Modern Physics
The aim of this paper is to study the idea of Clairaut slant Riemannian maps from Riemannian manifolds to Kähler manifolds. First, for the slant Riemannian map, we obtain the necessary and sufficient conditions for a curve to be a geodesic on the base manifold. Further, we find the necessary and sufficient conditions for the slant Riemannian map to be
Jyoti Yadav, Gauree Shanker, Murat Polat
openaire   +2 more sources

Geometric quantum control and the random Schrödinger equation

Physical Review Research
Understanding and mitigating noise in quantum systems is a fundamental challenge in achieving scalable and fault-tolerant quantum computation. Error modeling for quantum systems can be formulated in many ways, some of which are very fundamental, but hard
Rufus Lawrence, Aleš Wodecki, Johannes Aspman, Llorenç Balada Gaggioli, Jakub Mareček   +4 more
doaj   +1 more source

Neural ordinary differential equation based on Riemannian metric gradient flow for intelligent recognition of endoscopic nasal polyps

四川大学学报. 自然科学版
Nasal polyps are a common inflammatory disease of the nasal cavity that significantly affect patients’ quality of life.Their preliminary diagnosis primarily relies on endoscopic examination，which is time-consuming and highly dependent on the subjective ...
LIU Xinddong, LI Xiang, HU Junjie, JIANG Yalin, GONG Ting, YU Liya, ZHOU Peng   +6 more
doaj  

Harmonic Quasiconformal Mappings of Riemannian Manifolds [PDF]

American Journal of Mathematics, 1974
Goldberg, Samuel I., Ishihara, Toru
openaire   +4 more sources

General Chen-Ricci inequalities for Riemannian submersions and Riemannian maps

22 ...
Singh, Ravindra, Meena, Kiran, Meena, Kapish Chand   +2 more
openaire   +2 more sources