Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Gradient Ricci Solitons With A Conformal Vector Field, Ramesh Sharma
Gradient Ricci Solitons With A Conformal Vector Field, Ramesh Sharma
Mathematics Faculty Publications
We show that a connected gradient Ricci soliton (M,g,f,λ) with constant scalar curvature and admitting a non-homothetic conformal vector field V leaving the potential vector field invariant, is Einstein and the potential function f is constant. For locally conformally flat case and non-homothetic V we show without constant scalar curvature assumption, that f is constant and g has constant curvature.
Fractional Generalizations Of Zakai Equation And Some Solution Methods, Sabir Umarov, Fred Daum, Kenric Nelson
Fractional Generalizations Of Zakai Equation And Some Solution Methods, Sabir Umarov, Fred Daum, Kenric Nelson
Mathematics Faculty Publications
The paper discusses fractional generalizations of Zakai equations arising in filtering problems. The derivation of the fractional Zakai equation, existence and uniqueness of its solution, as well as some methods of solution to the fractional filtering problem, including fractional version of the particle flow method, are presented.