Results 1 to 10 of about 226 (26)
Differential geometry of grassmannians and the Plücker map [PDF]
Open Mathematics, 2012 Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For `hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were ...
Anan’in Sasha, Grossi Carlos
doaj +2 more sources
Infant Mental Health Journal: Infancy and Early Childhood, Volume 44, Issue 2, Page 200-217, March 2023., 2023 Abstract Parenting interventions can improve parenting outcomes, with widespread implications for children's developmental trajectories. Relational savoring (RS) is a brief attachment‐based intervention with high potential for dissemination. Here we examine data from a recent intervention trial in order to isolate the mechanisms by which savoring ...
Jessica L. Borelli +5 more
wiley +1 more source
Benenti Tensors: A useful tool in Projective Differential Geometry
Complex Manifolds, 2018 Two metrics are said to be projectively equivalent if they share the same geodesics (viewed as unparametrized curves). The degree of mobility of a metric g is the dimension of the space of the metrics projectively equivalent to g. For any pair of metrics
Manno Gianni, Vollmer Andreas
doaj +1 more source
Hilbert geometry of polytopes [PDF]
, 2009 It is shown that the Hilbert metric on the interior of a convex polytope is bilipschitz to a normed vector space of the same dimension.Comment: 11 pages, minor changes, to appear in Archiv ...
Bernig, Andreas
core +2 more sources
Multilocal invariants for the classical groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 1, Page 27-63, 2003., 2003 Multilocal higher‐order invariants, which are higher‐order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way. The basic invariants for the classical groups are the well‐known polynomial or rational invariants as derived from the Capelli identities.
Paul F. Dhooghe
wiley +1 more source
On a Class of Two-Dimensional Douglas and Projectively Flat Finsler Metrics [PDF]
, 2013 In this paper, we study a class of two-dimensional Finsler metrics defined by a Riemannian metric $\alpha$ and a 1-form $\beta$. We characterize those metrics which are Douglasian or locally projectively flat by some equations.
Yang, Guojun
core +3 more sources
On singular projective deformations of two second class totally focal pseudocongruences of planes
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 1, Page 71-80, 1988., 1988 Let be a projective deformation of the second order of two totally focal pseudocongruences L and of (m − 1)‐planes in projective spaces Pn and , 2m − 1 ≤ n < 3m − 1, and let K be a collineation realizing such a C. The deformation C is said to be weakly singular, singular, or α‐strongly singular, α = 3, 4, …, if the collineation K gives projective ...
Ludmila Goldberg
wiley +1 more source
Differential Invariants of Conformal and Projective Surfaces [PDF]
, 2007 We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Hubert, Evelyne, Olver, Peter J.
core +8 more sources
, 2015 We prove that the general fibre of the $i$-th Gauss map has dimension $m$ if and only if at the general point the $(i+1)$-th fundamental form consists of cones with vertex a fixed $\mathbb P^{m-1}$, extending a known theorem for the usual Gauss map.
De Poi, Pietro, Ilardi, Giovanna
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Binary differential equations at parabolic and umbilical points for $2$-parameter families of surfaces [PDF]
, 2017 We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic $2$-parameter families of surfaces in $\mathbb P^3$ by comparing our projective classification of Monge forms ...
Kabata, Yutaro +2 more
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