Harmonic Maps

The following sections are included:

• The Nearest Point Projection and the Second Fundamental Form

• The Euler-Lagrange Equation

• Stationary Weakly Harmonic Maps and the Monotonicity Formula

• Higher Regularity

• The Target Manifold 𝕊ⁿ⁻¹

• A Moving Tangent Frame Field

• General Target Manifolds

• Generalized Harmonic Maps

• Further Remarks

  • Homogeneous Manifolds

  • Energy Minimizing Maps