Results 311 to 320 of about 3,889,100 (366)
Some of the next articles are maybe not open access.
A comprehensive introduction to differential geometry
, 1979Spivak's Comprehensive introduction takes as its theme the classical roots of contemporary differential geometry. Spivak explains his Main Premise (my term) as follows: "in order for an introduction to differential geometry to expose the geometric aspect
M. Spivak
semanticscholar +1 more source
Differential Geometry of Special Mappings
, 2019The monograph deals with the theory of conformal, geodesic, holomorphically projective, F-planar and others mappings and transformations of manifolds with affine connection, Riemannian, Kahler and Riemann-Finsler manifolds.
J. Mikeš +20 more
semanticscholar +1 more source
Elements of Differential Geometry
Applications of Tensor Analysis in Continuum Mechanics, 2018In this chapter we begin with an acquaintance of basic notions of topology. This field of geometry studies topological properties of figures, that is, the properties which are preserved under deformations that do not tear or glue together parts of the ...
R. Millman, George D. Parker
semanticscholar +1 more source
Differential Geometry and Symmetric Spaces
, 1964Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces ...
S. Helgason
semanticscholar +1 more source
, 2016
p. 17, Def. 1.6.4, line 2 change ω|e to ωe p. 17, line -1 change Ada−1 to Ad(a −1) p. 18, Def. 1.6.9 right-hand side of displayed equation should read [ω(X), θ(Y )] − [ω(Y ), θ(X)] (not +) p. 19, Proof of 1.6.10, last line the “uniqueness” referred to is
T. Ivey, J. Landsberg
semanticscholar +1 more source
p. 17, Def. 1.6.4, line 2 change ω|e to ωe p. 17, line -1 change Ada−1 to Ad(a −1) p. 18, Def. 1.6.9 right-hand side of displayed equation should read [ω(X), θ(Y )] − [ω(Y ), θ(X)] (not +) p. 19, Proof of 1.6.10, last line the “uniqueness” referred to is
T. Ivey, J. Landsberg
semanticscholar +1 more source
Differential Geometry from a Singularity Theory Viewpoint
, 2015Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces.
S. Izumiya, M. Fuster, M. Ruas, F. Tari
semanticscholar +1 more source
2007
The main objective of this chapter is to present a Clifford bundle formalism for the formulation of the differential geometry of a manifold M, equipped with metric fields \(\boldsymbol{g} \in \sec T_{2}^{0}M\) and \(\mathtt{g} \in \sec T_{0}^{2}M\) for the tangent and cotangent bundles.
Waldyr A. Rodrigues +1 more
openaire +2 more sources
The main objective of this chapter is to present a Clifford bundle formalism for the formulation of the differential geometry of a manifold M, equipped with metric fields \(\boldsymbol{g} \in \sec T_{2}^{0}M\) and \(\mathtt{g} \in \sec T_{0}^{2}M\) for the tangent and cotangent bundles.
Waldyr A. Rodrigues +1 more
openaire +2 more sources
Differential Topology and Differential Geometry
2017In the first part of this chapter, we give a brief introduction to Smooth Manifolds and Differential Forms following mainly the text of Arnold (“Mathematical Methods of Classical Mechanics”). In the second part, we start with the definitions of Riemannian metrics, connections and curvatures on open sets of Euclidean spaces, and then give a brief ...
Soma Maity, Kingshook Biswas
openaire +2 more sources