INTRODUCTION TO DIFFERENTIAL GEOMETRY - ETH Z

INTRODUCTION TODIFFERENTIAL GEOMETRYJoel W. RobbinUW MadisonDietmar A. SalamonETH Z urich19 December 2021iiPrefaceThese are notes for the lecture course DIFFERENTIAL GEOMETRY I given by thesecond author at ETH Z urich in the fall semester 2017. They are based ona lecture course1given by the first author at the University of Wisconsin Madison in the fall semester can distinguishextrinsic DIFFERENTIAL geometryandintrinsic differ-ential GEOMETRY . The former restricts attention to submanifolds of Euclideanspace while the latter studies manifolds equipped with a Riemannian extrinsic theory is more accessible because we can visualize curves andsurfaces inR3, but some topics can best be handled with the intrinsic definitions in Chapter 2 have been worded in such a way that it is easyto read them either extrinsically or intrinsically and the subsequent chaptersare mostly (but not entirely) extrinsic.

semester course in extrinsic di erential geometry by starting with Chapter 2 and skipping the sections marked with an asterisk such as §2.8. Here is a description of the content of the book, chapter by chapter. Chapter 1 gives a brief historical introduction to di erential geometry and

Tags:

  Introduction, Differential, Geometry, Introduction to differential geometry

Information

Related search queries