Results 51 to 60 of about 113,978 (189)

The BGG Complex on Projective Space

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Michael G. Eastwood, A. Rod Gover
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On some interpretation of linear frames in projective differential geometry

Дифференциальная геометрия многообразий фигур, 2018
The centroprojective group, i. e. the stabilizer G of a fixed point A in the group GP(n) of projective transformations of n-dimensional projective space Pn (n > 1) is considered in the paper. Two faithful representations of the linear quotient group of G
A. Kuleshov
doaj  

Differentiable mapping of affine Q[m] and projective P[n] spaces (m>n)

Известия Томского политехнического университета: Инжиниринг георесурсов, 2019
The urgency of work is caused by necessity of detailed studying of differentiable mappings of multivariate space. The main aim of the research is to study differentiable mappings of V[m, n] of affine space Q[m] to projective space P[n] (m>n); to consider
Evgeniy Ivlev, Mudkhar Abbas Al-Khassani, Anatoly Luchinin   +2 more
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On the dimension of Lie algebras of infinitesimal affine transformations of direct products of more than two spaces of affine connection of the first type

Дифференциальная геометрия многообразий фигур
The theory of motions in generalized spaces is one of the directions in modern differential geometry. Such scientists as E. Cartan, P. K. Rashev­sky, P. A. Shirokov, I. P. Egorov, A.Ya. Sultanov and other scientists were engaged in the study of movements
Glebova M. V. , Sultanov A.Ya.
doaj   +1 more source

CL-Transformation on 3-Dimensional Quasi Sasakian Manifolds and Their Ricci Soliton

Mathematics
This paper explores the geometry of 3-dimensional quasi Sasakian manifolds under CL-transformations. We construct both infinitesimal and CL-transformation and demonstrate that the former does not necessarily yield projective killing vector fields.
Rajesh Kumar, Lalnunenga Colney, Dalal Alhwikem   +2 more
doaj   +1 more source

Weyl quadratic gravity as a gauge theory and non-metricity vs torsion duality

European Physical Journal C: Particles and Fields
We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation, generates Einstein
C. Condeescu, D. M. Ghilencea, A. Micu
doaj   +1 more source

Differential geometry of complex projective space curves

Manuscripta Mathematica, 1983
We give explicit formulas for the Gaussian curvature and other differential geometric functions of a holomorphic curve in complex projective space. It is proved that the curve is uniquely determined by these functions up to an isometry of the ambient space.
openaire   +2 more sources

Machine learning the dimension of a Fano variety. [PDF]

Nat Commun, 2023
Coates T, Kasprzyk AM, Veneziale S.
europepmc   +1 more source

Differential geometry of conics in the projective space of three dimensions.—I. Fundamental theorem in the theory of a one-parameter family of conics [PDF]

, 1928
Akitsugu Kawaguchi
openalex   +1 more source