Conformal Ricci solitons of Lagrangian submanifolds in K\"{a}hler manifolds
Copyright policy )Conformal Ricci solitons of Lagrangian submanifolds in K\"{a}hler manifolds
Summary: The object of the paper is to study a compact Lagrangian submanifold \(M\) in Kähler manifolds, such that the induced metric on the Lagrangian submanifolds is a conformal Ricci soliton with respect to potential vector field given by mean curvature vector field. Moreover, we also discuss the gradient conformal Ricci soliton and prove two characterizations of conformal Ricci soliton with the Laplace operator and the Poisson equation.
Special Riemannian manifolds (Einstein, Sasakian, etc.), Lagrangian submanifolds; Maslov index, Laplace operator, Ricci flows, General geometric structures on manifolds (almost complex, almost product structures, etc.), Kähler manifolds, Poisson equation, Lagrangian submanifolds, conformal Ricci soliton
Special Riemannian manifolds (Einstein, Sasakian, etc.), Lagrangian submanifolds; Maslov index, Laplace operator, Ricci flows, General geometric structures on manifolds (almost complex, almost product structures, etc.), Kähler manifolds, Poisson equation, Lagrangian submanifolds, conformal Ricci soliton
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