Electron. J. Differential Equations, Vol. 2025 (2025), No. 62, pp. 1-10.
Complete noncompact and stochastically complete m-quasi Yamabe gradient solitons
Giovanni Molica Bisci, Henrique F. de Lima, Ary V. F. Leite, Marco A. L. Velasquez
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.
DOI: 10.58997/ejde.2025.62
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Giovanni Molica Bisci
Department of Human Sciences and Quality of Life Promotion
San Raffaele University of Rome, Rome, Italy
email: giovanni.molicabisci@uniroma5.it
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Henrique F. de Lima
Departamento de Matemática
Universidade Federal de Campina Grande
58.429-970 Campina Grande, Paraíba, Brazil
email: henriquedelima74@gmail.com
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Ary V. F. Leite
Departamento de Matemática
Universidade Federal de Campina Grande
58.429-970 Campina Grande, Paraíba, Brazil
email: ary.v.l.f@gmail.com
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Marco A. L. Velásquez
Departamento de Matemática
Universidade Federal de Campina Grande
58.429-970 Campina Grande, Paraíba, Brazil
email: marcolazarovelasquez@gmail.com
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