1 Table of Contents: “... -- Information geometry in image analysis -- Divergence geometry -- Optimization on manifold -- Lie groups...”

2 Table of Contents: “...Diffusion Means and Heat Kernel on Manifolds -- A reduced parallel transport equation on Lie Groups...”

3 Table of Contents: “...Geometric statistics on manifolds and Lie groups -- Deformations in shape spaces -- Differential...”

4 Table of Contents: “...: Geometric Mechanics -- Intrinsic Incremental Mechanics -- -Multi-symplectic Extension of Lie Group...”

5 Table of Contents: “... coupled multibody-fluid system in Lie group setting --...”

6 Table of Contents: “... and Diusion Processes on Unimodular Lie Groups...”