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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

1 vote
0 answers
91 views

Why $h_t$ maps into $\mathbb{R}^{\nu}$?

I am studying geometric measure theory (Herbert Federer - Geometric measure theory) and I have a question about class $r$ homotopies. Here's the definition, from p. 363, Section 4.1.9: Suppose $U$ is …
Zeno cosini's user avatar
3 votes
0 answers
96 views

Normal and locally normal currents

I am reading the Geometric Measure Theory book by H. Federer and I have some questions about currents: Assuming $T \in \mathscr{D}_{m}(U),$ we call $T$ locally normal if and only if $T$ is represen …
Zeno cosini's user avatar