Adiabatic limits, vanishing theorems and the non-commutative residue

作者：Liu KeFeng; Wang Yong^*

来源：Science in China Series A-Mathematics, 2009, 52(12): 2699-2713.

DOI：10.1007/s11425-009-0214-4

• foliations
• adiabatic limits
• vanishing theorems
• noncommutative residue

In this paper, we compute the adiabatic limit of the scalar curvature and prove several vanishing theorems by taking adiabatic limits. As an application, we give a Kastler-Kalau-Walze type theorem for foliations.

• 出版日期2009-12
• 单位浙江大学; 东北师范大学