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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   +7 more sources

Hyperbolic submanifolds of complex projective space [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1969
In [1] Professor Kobayashi constructed an invariant pseudodistance dM on each complex manifold M. If the pseudo-distance dM is a true distance, the complex manifold is said to be hyperbolic. It is known (see [1]) that if M admits a hermitian metric of strongly negative curvature then M is hyperbolic.
Peter Kiernan
openalex   +3 more sources

Distance spheres in complex projective spaces [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1973
Distance spheres in complex projective spaces are counterexamples to the odd-dimensional extension of a lemma of Klingenberg.
Alan Weinstein
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Totally real submanifolds in a complex projective space [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below.
Liu Ximin
doaj   +2 more sources

Real hypersurfaces of a complex projective space [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1986
We study real hypersurfaces M of a complex projective space and show that a condition on the derivative of the Ricci Tensor of M implies M is locally homogeneous with two or three principal curvatures.
M. Kimura, S. Maeda
openaire   +4 more sources

Characterizations of complex projective spaces and hyperquadrics [PDF]

open access: bronzeKyoto Journal of Mathematics, 1973
Shôshichi Kobayashi, Takushiro Ochiai
openalex   +3 more sources

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