Lecture Note on Elementary Differential Geometry * Ling-Wei Luo Institute of Physics, Academia Sinica July 20, 2019 Abstract This is a note based on a course of elementary differential geometry as I gave the lectures in theNCTU-YauJournalClub: InterplayofPhysicsandGeometryatDepartmentofElectrophysics in National Chiao Tung University (NCTU) in Spring semester 2017. The contents of remarks, supplements and examples are highlighted in the red, green and blue frame boxes ...
INTRODUCTIONTO DIFFERENTIAL GEOMETRY Joel W. Robbin Dietmar A. Salamon UWMadison ETHZuric¨ h 11 October 2022 ii Preface These are notes for the lecture course “Dierential Geometry I” given by the second author at ETH Zuric¨ h in the fall semester 2017. They are based on a lecture course1 given by the rst author at the University of Wisconsin– Madison in the fall semester 1983 ...
INTRODUCTIONTO DIFFERENTIAL GEOMETRY Joel W. Robbin Dietmar A. Salamon UWMadison ETHZuric¨ h 18 March 2013 ii Preface These are notes for the lecture course “Dierential Geometry I” held by the second author at ETH Zuri¨ ch in the fall semester 2010. They are based on a lecture course held by the rst author at the University of Wisconsin– Madison in the fall semester 1983 ...
BOOK REVIEWS 553 J. J. Duistermaat and L. Hormander [1972], Fourier integral operators. II, Acta. Math. 128, 183-269. Yu. V. Egorov [1969], On canonical transformations of pseudo-differential operators, Uspehi Mat. Nauk 25, 235-236. G. Godbillon [1969], Geometrie differentielle et mecanique analytique, Hermann, Paris. R. Hermann [1968], Differential geometry and the calculus of variations, Academic Press, New York (Second edition, [1977], Math. Sci. Press). L. Hormander ...