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math.DG2022
Geodesic completeness of pseudo and holomorphic Riemannian metrics on Lie groups
Ahmed Elshafei, Ana Cristina Ferreira, Helena Reis
This paper is devoted to geodesic completeness of left-invariant metrics for real and complex Lie groups. We start by establishing the Euler-Arnold formalism in the holomorphic set…
math.DG2022
Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces
Hiuri dos Reis, Benedito Leandro, Rafael Novais
We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the revolution surfaces of . Furthermore, we describe the behavior of…