Regular submanifolds in conformal space ℚ _p ⁿ

Abstract

The authors study the regular submanifolds in the conformal space ℚ _p ⁿ and introduce the submanifold theory in the conformal space ℚ _p ⁿ. The first variation formula of the Willmore volume functional of pseudo-Riemannian submanifolds in the conformal space ℚ _p ⁿ is given. Finally, the conformal isotropic submanifolds in the conformal space ℚ _p ⁿ are classified.

Keywords

Conformal space / Conformal invariants / Willmore submanifolds / Conformal isotropic

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