タイトルにある通りですが，Differential Geometry (Loring W. Tu 著)の問題12.5でかなり苦労したので，今後他の方がこの本で勉強する際の参考になればと思い自分の解答を公開しておきます． 記号や言葉の意味はテキストを参考にしてください． 結論だけ言えば ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

Open Source collection of solved exercises and tasks for the subject «Differential Geometry» («Geometría de Curvas y Superficies») written during my degree in Mathematics in the University of Murcia, ...

Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham ...