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math.DG2026
On a special class of gradient Ricci solitons
José Nazareno Vieira Gomes, Marcus Antonio Mendonça Marrocos
We develop a method for constructing complete gradient Ricci solitons realized as fiber bundles endowed with warped metrics, and we establish necessary and sufficient conditions fo…
math.DG2026
On the generic Simplicity of the spectrum for Connection Laplacian and -simplicity on Principal Bundles
Geovane C. Brito, Marcus A. M. Marrocos
In this paper, we prove that, for a residual set of connections defined on a smooth vector bundle , all eigenvalues of the connection Laplacian operator $\mathscr{…