Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 62, pp. 1-10.

Title: Complete noncompact and stochastically complete m-quasi Yamabe gradient solitons

Authors: Giovanni Molica Bisci (San Raffaele Univ. of Rome, Italy)
         Henrique F. de Lima (Univ. Federal de Campina Grande, Brazil)
         Ary V. F. Leite (Univ. Federal de Campina Grande, Brazil)
         Marco A. L. Velasquez (Univ. Federal de Campina Grande, Brazil)

Abstract:
We establish new characterization and nonexistence results concerning complete noncompact and stochastically complete m-quasi Yamabe gradient solitons through the applications of a key Bochner type formula jointly with suitable maximum principles dealing, in particular, with the notions of convergence to zero at infinity and polynomial and exponential volume growth.

Submitted April 14, 2025. Published June 25, 2025.
Math Subject Classifications: 53C25, 53C44.
Key Words: Complete and stochastically complete m-quasi Yamabe gradient solitons;
  scalar curvature; convergence to zero at infinity; polynomial and exponential volume growth.