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The BGG Complex on Projective Space [PDF]

open access: yesSymmetry, 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
doaj   +8 more sources

On real hypersurfaces of a complex projective space [PDF]

open access: yesMathematische Zeitschrift, 1989
In this article the authors continue their work on real hypersurfaces in complex projective spaces [part I, see Math. Z. 202, 299-311 (1989; Zbl 0661.53015), part II, see Tsukuba J. Math. 15, 547-561 (1991; Zbl 0762.53039)]. The main purpose of this paper is to provide sufficient and necessary conditions for a real hypersurface \(M\) of a complex ...
Makoto Kimura   +2 more
exaly   +6 more sources

The Penrose transform for complex projective space [PDF]

open access: yesComplex Variables and Elliptic Equations, 2009
Various complexes of differential operators are constructed on complex projective space via the Penrose transform, which also computes their cohomology.Michael ...
Eastwood, Michael George   +1 more
core   +5 more sources

CR-hypersurfaces of complex projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
We consider compact n-dimensional minimal foliate CR-real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2-dimensional sphere provided that the square of the length of the second fundamental form is ...
M. A. Bashir
doaj   +2 more sources

Chow transformation of coherent sheaves

open access: yesComplex Manifolds, 2023
We define a dual of the Chow transformation of currents on any complex projective manifold. This integral transformation is a factor of a left inverse of the Chow transformation and its composition with the Chow transformation is a right inverse of a ...
Méo Michel
doaj   +1 more source

Projective and other locative PPs in Greek

open access: yesGlossa, 2022
The distinction between projective and non-projective locative prepositions that has been proposed in the semantic literature (Zwarts & Winter 2000) is reflected in the syntax and morphology of Greek spatial expressions.
Athanasios Michail Ramadanidis
doaj   +2 more sources

Geometry of two-parametric family of linear line complexes

open access: yesLietuvos Matematikos Rinkinys, 2005
In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
doaj   +3 more sources

On the quaternion projective space

open access: yesJournal of Taibah University for Science, 2020
Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar   +4 more
doaj   +1 more source

Some remarks on a theorem of Green

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2022
The purpose of this paper is to study holomorphic curves f from C to C3 avoiding four complex hyperplanes and a real subspace of real dimension four in C3.
Abdessami ben Hmida Jalled, Fathi Haggui
doaj   +1 more source

Lie derivatives on real hypersurfaces in a complex projective space [PDF]

open access: yes, 1995
summary:We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$
Kimura, Makoto   +2 more
core   +1 more source

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