The Sasakimetric is a natural choice of Riemannian metric on the tangent bundle of a Riemannian manifold. Introduced by Shigeo Sasaki in 1958. Let ( M...
(named after Shigeo Sasaki) is a contact manifold ( M , θ ) {\displaystyle (M,\theta )} equipped with a special kind of Riemannian metric g {\displaystyle...
where X is a skew-symmetric matrix. In this case the Sasakimetric agrees with this biinvariant metric on SO(3). The actions of G on itself, and hence on...
{\displaystyle x^{i}} . The dynamic variables of this theory are taken to be the metric tensor of three-dimensional spatial slices γ i j ( t , x k ) {\displaystyle...
pseudo-Riemannian metric on a manifold. It can be considered, broadly, as a measure of the degree to which the geometry of a given metric tensor differs...
Geometry, Cambridge University Press, ISBN 978-0-521-59787-6 Nomizu, Katsumi; Sasaki, S. (1994), Affine Differential Geometry (New ed.), Cambridge University...
original on January 23, 2015. Retrieved June 25, 2023. Kawakita, Sugita & Sasaki 1993, p. 100. Nakamura, Shiraishi & Aita 2014, p. 139. LeMay 2017, pp. 171–172...
cubic miles) of ice. A cubic kilometer of ice weighs approximately 0.92 metric gigatonnes, meaning that the ice sheet weighs about 24,380,000 gigatonnes...
Africa. During their long reaction period, about 5.4 metric tons of fission products, 1.5 metric tons of plutonium, and other transuranic elements were...
and apples. Chewiness is empirically measured by the metrics of chew count and chew rate. Sasaki K, Motoyama M, Narita T (April 2012). "Increased intramuscular...
distance between any two Kähler metrics.[CC02] Furthermore, they showed that the Mabuchi metric endows the space of Kähler metrics with the structure of a Alexandrov...
Game score is a metric devised by Bill James as a rough overall gauge of a starting pitcher's performance in a baseball game. It is designed such that...
1016/j.cbpa.2015.05.006. PMC 4571180. PMID 26143170. Murata Y, Iwasaki H, Sasaki M, et al. (2005). "Phosphoinositide phosphatase activity coupled to an intrinsic...
differential geometry studies manifolds equipped with a volume form rather than a metric. Here we consider the simplest case, i.e. manifolds of codimension one....
Archived from the original on 11 July 2015. Retrieved 3 August 2015. Hiroshi Sasaki. "School Choice and Divided Primary Education: Case Study of Varanasi, UP...
South China Morning Post. 21 October 2017. Retrieved 15 October 2019. Sasaki, Norihiko (3 July 2022). "Functions and significance of the central leading...
M405918200. PMID 15190064. Yoshihara S, Kon A, Kudo D, Nakazawa H, Kakizaki I, Sasaki M, et al. (2005). "A hyaluronan synthase suppressor, 4-methylumbelliferone...
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