TL;DR
This paper introduces three new classes of algebraic hypersurfaces with zero mean curvature in pseudo-Euclidean spaces, expanding the known solutions in differential geometry.
Contribution
It provides explicit algebraic constructions of zero-mean-curvature hypersurfaces, which were not previously classified or known in this form.
Findings
Three classes of algebraic zero-mean-curvature hypersurfaces are constructed.
The solutions are explicitly described in pseudo-Euclidean spaces.
The work advances the understanding of algebraic solutions in differential geometry.
Abstract
Three classes of new, algebraic, zero-mean-curvature hypersurfaces in pseudo-Euclidean spaces are given.
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Taxonomy
TopicsMathematics and Applications · Geometric Analysis and Curvature Flows · Algebraic and Geometric Analysis