000			01752nam a22002777a 4500
003			IIITD
005			20240504150014.0
008			240422b |||||||| |||| 00| 0 eng d
020			_a9783030922511
040			_aIIITD
082			_a516.3 _bPRA-D
100			_aPrasolov, Victor V.
245			_aDifferential geometry _cby Victor V. Prasolov
260			_aCham : _bSpringer, _c©2022
300			_axi, 271 p. : _bill. ; _c24 cm.
440			_aMoscow Lectures
504			_aIncludes bibliographical references and index.
505			_t1. Curves in the Plane _t2. Curves in Space _t3. Surfaces in Space _t4. Hypersurfaces in Rn+1: Connections _t5. Riemannian Manifolds _t6. Lie Groups _t7. Comparison Theorems, Curvature and Topology, and Laplacian _t8. Appendix
520			_aThis book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces. The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.
650			_aGeometria diferencial.
650			_aGeometría diferencial.
650			_aGeometry, Differential.
650			_aGéométrie différentielle.
700			_aSipacheva, Olga _etranslator
942			_2ddc _cBK
999			_c172460 _d172460