3 papers
math.DG2024
Partial Scalar Curvatures and Topological Obstructions for Submanifolds
C. -R. Onti, K. Polymerakis, Th. Vlachos
We investigate specific intrinsic curvatures (where ) that interpolate between the minimum Ricci curvature and the normalized scalar curvature of…
math.DG2020
Bonnet and Isotropically Isothermic Surfaces in 4-Dimensional Space Forms
Kleanthis Polymerakis
We study the Bonnet problem for surfaces in 4-dimensional space forms, where two isometric surfaces have the same mean curvature if there exists a parallel vector bundle isometry b…
math.DG2016
On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms
Kleanthis Polymerakis, Theodoros Vlachos
We study the moduli space of congruence classes of isometric surfaces with the same mean curvature in 4-dimensional space forms. Having the same mean curvature means that there exi…