The Foundations Of Differential Geometry

By T. Schmitz. 2016

1,222 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8838cdcd593592e1b1ce85812842d9ba545af71d

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Citations in the corpus

Optimization Techniques on Riemannian Manifolds (2014, unknown): “Oftentimes the map exp p will be denoted by “exp” when the choice of tangent plane is clear, and γ X ( t ) will be denoted by exp tX .”
Differential Geometry of Special Mappings (2019, background): “Egorov [45, 46], Eisenhart[50–52], Fecko [56], Fubini [422], Helgason [69], Kobayashi, Nomizu [90], Mikeš [118, 119], Mikeš, Kiosak, Vanžurová [121], Mikeš, Vanžurová, Hinterleitner [122], Norden [135], Penrose, Rindler [137], Petrov [139,140], Radulović, Mikeš, Gavrilchenko [149], Rashevskij [152],”
Normalizing Flows for Probabilistic Modeling and Inference (2019, background): “However, such a map can only exist for manifolds that are homeomorphic, i.e. topologically equivalent, to RD (Kobayashi and Nomizu, 1963).”
The classification of naturally reductive homogeneous spaces in dimensions $n \leq 6$ (2014, methodology): “For parallel skew torsion, the first Bianchi identity may be written as [KN63]”
f(T) teleparallel gravity and cosmology (2015, background): “As we saw in detail in the previous Section, it is crucial to mention that torsion and curvature are properties of the connection [117], and several different connections can be defined on the same space-time [118].”
On the structure of geodesic orbit Riemannian spaces (2016, background): “Recall that a Riemannian manifold (M,g) is naturally reductive if it admits a transitive Lie group G of isometries with a biinvariant pseudo-Riemannian metric g0, which induces the metric g on M = G/H (see [17] and [40]).”