Sharp spectral gap and Li-Yau's estimate on Alexandrov spaces by Qian, Z, Zhang, H, Zhu, X

Sharp spectral gap and Li-Yau's estimate on Alexandrov spaces by Qian, Z, Zhang, H, Zhu, X

“…Firstly, we extend the sharp lower bound estimates of spectral gap, due to Chen and Wang (Sci Sin (A) 37:1-14, 1994), Chen and Wang (Sci Sin (A) 40:384-394, 1997) and Bakry-Qian (Adv Math 155:98-153, 2000), from smooth Riemannian manifolds to Alexandrov spaces. As an application, we get an Obata type theorem for Alexandrov spaces. …”