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math.DG2026
Integrals and Rigidity on Manifolds with Nonnegative Ricci Curvature
Zixuan Chen, Guoyi Xu, Shuai Zhang
We prove the general sharp mean value inequality for non-negative superharmonic functions and its corresponding rigidity, which removes the radius restriction of Schoen-Yau's class…
cs.RO2026
INHerit-SG: Incremental Hierarchical Semantic Scene Graphs for Complex Embodied Retrieval
YukTungSamuel Fang, Zhikang Shi, Jiabin Qiu +5
Object retrieval in 3D scenes remains difficult when queries combine hierarchical context, attributes, negation, and chained spatial relations. Existing semantic maps, scene graphs…