Some Results on Calibrated Submanifolds in Euclidean Space of Cohomogeneity One and Two

Key Points

• Calibrated submanifolds exhibit unique topological properties, enhancing our understanding of geometric analysis.
• Understanding cohomogeneity in submanifolds can lead to significant advancements in mathematical physics.
• The analysis focuses on the geometric structure of submanifolds within Euclidean spaces of varying cohomogeneity.
• Implications of this study could extend to broader applications in topology and geometric frameworks.