000			01440nam a22002655i 4500
001			92659
005			20240109161150.0
010			_a978-3-030-92249-8 _dcompra
090			_a92659
100			_a20231023d2022 k||y0pory50 ba
101	0		_aeng
102			_aCH
200	1		_aDifferential geometry _bDocumento eletrónico _fby Victor V. Prasolov
210			_aCham _cSpringer _d2022
215			_aXI, 271 p. _cil.
225	2		_aMoscow lectures _v8
303			_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.
606			_aGeometry, Differential
680			_aQA641-670
700			_971804 _aPrasolov _bVictor V.
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-92249-8
942			_2lcc _cF _n0