For differential geometry, there is (now in its second edition):

<cite authors="Gadea, Pedro M.; Muñoz Masqué, Jaime; Mykytyuk, Ihor V.">_Gadea, Pedro M.; Muñoz Masqué, Jaime; Mykytyuk, Ihor V._, [**Analysis and algebra on differentiable manifolds: a workbook for students and teachers**](http://dx.doi.org/10.1007/978-94-007-5952-7), Problem Books in Mathematics. London: Springer (ISBN 978-94-007-5951-0/hbk; 978-94-007-5952-7/ebook). xxv, 617&nbsp;p. (2013). [ZBL1259.53002](https://zbmath.org/?q=an:1259.53002).</cite>

From the preface of the 2009 (revised first) edition: “This book is intended to cover the exercises of standard courses on analysis and algebra on differentiable manifolds for advanced undergraduate and graduate years, with specific focus on Lie groups, fibre bundles and Riemannian geometry.”