Lower bounds for volumes of nodal sets: an improvement of a result of   Sogge-Zelditch
  We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in dimensions n \leq 5 gives a new proof for the lower bounds of Colding-Minicozzi. 
Hamid Hezari and Zuoqin Wang
math.AP math.DG math.SP