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Taking note of the limitations of previously dominant political economy perspectives on China’s urban transformation, and inspired by recent works calling for “beyond-growth” and “micro-level” studies of the Chinese state, as well as ethnographic approaches to the state, this paper aims to explore the often-untold everyday politics of decision-making processes in China’s state-led urban development. Using an urban design project at Hexi New Town in Nanjing, China, as an empirical lens, the article makes three main contributions. Firstly, it reveals how the Chinese local state is constitutive of and lived through intense negotiations and contestations over urban visions, subjectivities, and rules of practices in everyday life. Secondly, building upon existing ethnographic approaches to the state, which focus primarily on state-society dynamics, this paper develops a framework to re-conceptualize the power topology within the Chinese local state as a field of relational modalities (ruling power relations (re)enacted in everyday practices) and relational embeddedness (situated positionalities and subjectivities of state actors). Thirdly, it further shows how the power modalities (the interplay of political-economy power vs technical-power, territorial power vs trans-territorial power) of the Chinese local state are constantly reworked, sometimes re-enacted, sometimes challenged, through both formal and tacit rules in the state’s everyday life. As such, the article provides a new set of entry points to open the black-box of the Chinese local state and to explore the relational nature and an ethnographic perspective of the local state and urban politics in China and beyond.

We obtain a fundamental gap estimate for classes of bounded domains with quantitative control on the boundary in a complete manifold with integral bounds on the negative part of the Ricci curvature. This extends the result of Oden, Sung, and Wang [Trans. Amer. Math. Soc. 351 (1999), no. 9, 3533–3548] to ‐Ricci curvature assumptions, . To achieve our result, it is shown that the domains under consideration are John domains, what enables us to obtain an estimate on the first nonzero Neumann eigenvalue, which is of independent interest.