Results 101 to 110 of about 2,551 (283)
CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS
Communications of the Korean Mathematical Society, 2003 Summary: When \(N\) is a compact Riemannian manifold, using warped products, we discuss the conformal deformation of a warped product metric on \( M = [a, \infty ) \times_f N\) with specific warping functions.
Jung, Yoon-Tae +2 more
openaire +2 more sources
Gradient vector fields which characterize warped products [PDF]
, 2001 We find what condition on gradient vector fields characterizes warped products, Riemannian products and round spheres. To do this we apply the theory of Jacobi equations without conjugate points to the differential maps of the local one-parameter groups ...
Innami, Nobuhiro, Kim, Byung Hak
core
Quality Thresholds for Angiogenesis Under Acoustic Manipulation in Engineered Vascular Tissues
Advanced Science, EarlyView.Defined biological and physical quality thresholds achieved through acoustic manipulation regulate cellular alignment and spatial organization, promoting self‐assembling vasculature, extracellular matrix deposition, and angiogenic responses, thereby establishing critical acoustic patterning requirements for engineered vascular tissue development in ...
Oscar O'Dwyer Lancaster‐Jones +5 more
wiley +1 more source
Journal of Geometry and Physics, 2007 The author assumes a product manifold \(M= E\times F\) to be equipped with a warped product metric. Therefrom arises by adding a mixed 2-form such that \(E\), \(F\) are no longer orthogonal an oblique warped product metric. The author discusses the existence of such a structure and gives examples: generalized Robertson-Walker space-times and more ...
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Multiscale Circuit Architecture Associated With Memory Dysfunction in Temporal Lobe Epilepsy
Advanced Science, EarlyView.A multiscale precision‐mapping framework reveals that memory impairment in temporal lobe epilepsy arises from the convergence of focal medial temporal pathology, strategic white matter disconnection, and limbic‐centered metabolic network dysfunction.
Jiajie Mo +12 more
wiley +1 more source
Ricci Curvature Bounds for Warped Products [PDF]
, 2014 We prove generalized lower Ricci curvature bounds for warped products over complete Finsler manifolds. On the one hand our result covers a theorem of Bacher and Sturm con-cerning euclidean and spherical cones ([3]).
Christian Ketterer
core
Advanced Science, EarlyView.DDSurfer reconstructs cortical surfaces directly from diffusion MRI without requiring T1‐weighted scans. By fusing complementary microstructural features and learning diffeomorphic deformations, it efficiently generates accurate white matter and pial surfaces, improving geometric fidelity and morphometric reliability across datasets for robust surface ...
Chengjin Li +10 more
wiley +1 more source
Mathematics, 2019 The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj +1 more source
Structural Polymorphism of polyG Inclusions Revealed by In Situ Cryo‐Electron Tomography
Advanced Science, EarlyView.Correlative cryo‐electron tomography in primary cortical neurons and NIID mouse brain tissue reveals that polyG inclusions are interconnected ribbon‐like assemblies rather than canonical amyloid fibrils. Multiple compartment‐specific ribbon states show distinct 26S proteasome accessibility, while cytoplasmic ribbons contact and deform ER‐like ...
Yunwen Qian +12 more
wiley +1 more source
MathematicsIn this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
doaj +1 more source