Results 131 to 140 of about 137,105 (301)
Einstein Hermitian metrics of positive sectional curvature
It is shown that, up to scaling and isometry, the only complete 4-manifold with an Einstein metric of positive sectional curvature which is also Hermitian with respect to some complex structure is the complex projective plane C P 2 \mathbb {CP}_2 , equipped with its Fubini-Study metric.
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ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
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Sectional curvatures of geodesic spheres in a complex hyperbolic space [PDF]
Tetsuo Kajiwara, Sadahiro Maeda
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ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu +10 more
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Locally Removable Singularities for Kähler Metrics with Constant Holomorphic Sectional Curvature [PDF]
Si-en Gong, Hongyi Liu, Bin Xu
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Stability of tori under lower sectional curvature
ISSN:1364 ...
Bruè, Elia +2 more
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Objective Reports have linked both high and low serum uric acid (SUA) levels to adverse health outcomes. This study aimed to establish a reference interval for SUA in older adults and assessed its association with clinically relevant outcomes in relatively healthy, community‐dwelling individuals aged ≥70 years old.
Amanda J. Rickard +15 more
wiley +1 more source
The sectional curvature of the Sasaki metric of T1Mn [PDF]
А. А. Борисенко +1 more
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Objectives This study aims to develop hip morphology‐based radiographic hip osteoarthritis (RHOA) risk prediction models and investigates the added predictive value of hip morphology measurements and the generalizability to different populations. Methods We combined data from nine prospective cohort studies participating in the World COACH consortium ...
Myrthe A. van den Berg +26 more
wiley +1 more source
Contact CR $ \delta $-invariant: an optimal estimate for Sasakian statistical manifolds
Chen (1993) developed the theory of $ \delta $-invariants to establish novel necessary conditions for a Riemannian manifold to allow a minimal isometric immersion into Euclidean space. Later, Siddiqui et al.
Aliya Naaz Siddiqui +2 more
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