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Titlebook: Riemannian Geometry and Geometric Analysis; Jürgen Jost Textbook 2017Latest edition Springer International Publishing AG 2017 53B21, 53L20

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Chapter 5 Geometry of Submanifolds,This chapter is devoted to the geometry of submanifolds, in particular, minimal submanifolds.
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Chapter 9 Harmonic Maps Between Riemannian Manifolds,In this chapter, harmonic maps between Riemannian manifolds are treated, utilizing the previously introduced techniques from geometric analysis. Several existence theorems are proved and applied to Riemannian geometry. The treatment uses an abstract approach based on convexity that brings out the fundamental structures.
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