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Parabolic Geometries I
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The first monograph on parabolic geometry in the literature was published by as discussed by the authors, following several ground-braking results achieved by the authors and their collaborators in the last two decades.Abstract:
The first monograph on parabolic geometry in the literature
following several ground-braking results achieved by the
authors and their collaborators in the last two decades. The
volume will be followed by the second one focused on
mathematical applicationsread more
Citations
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Journal Article
On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables
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Killing and conformal Killing tensors
TL;DR: In this paper, an appropriate formalism was introduced in order to study conformal Killing (symmetric) tensors on Riemannian manifolds and several new results were obtained.
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Notes on Projective Differential Geometry
TL;DR: Projective differential geometry was initiated in the 1920s, especially by Elie Cartan and Tracey Thomas as mentioned in this paper, and it is completely parallel to conformal differential geometry, and there are direct applications within Riemannian differential geometry.
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Conformal submanifold geometry I-III
TL;DR: In this paper, the notions of a Moebius structure and a conformal Cartan geometry were established for submanifolds of conformal manifolds in arbitrary dimension and codimension.
References
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The seiberg-witten invariants and symplectic forms
TL;DR: In this article, a vanishing theorem for the Seiberg-Witten invariants of a manifold X was proved, which implies that no such manifold admits a symplectic form unless b and first Betti number of X have opposite parity.