Results 51 to 60 of about 339,702 (103)

Metric SYZ conjecture and non-archimedean geometry [PDF]

open access: yesarXiv, 2020
We show that assuming a conjecture in non-archimedean geometry, then a metric formulation of the SYZ conjecture can be proved in large generality.
arxiv  

Eigenvalues of the Tachibana Operator which Acts on Differential Forms [PDF]

open access: yesarXiv, 2014
In the present paper we show spectral properties of a littleknown natural Riemannian second-order differential operator acting on differential forms.
arxiv  

The three obdurate conjectures of differential geometry [PDF]

open access: yesarXiv
We explore the role of symmetry in three obdurate conjectures of differential geometry: the Carath\'eodory, the Willmore and the Lawson Conjectures.
arxiv  

Differential-geometric characterizations of complete intersections [PDF]

open access: yesarXiv, 1994
The exposition has been significantly altered, hopefully improved.
arxiv  

Noncommutative spectral geometry of Riemannian foliations [PDF]

open access: yesarXiv, 1997
We construct spectral triples in a sense of noncommutative differential geometry, associated with a Riemannian foliation on a compact manifold, and describe its dimension spectrum.
arxiv  

Rigidity and Flexibility in Poisson Geometry [PDF]

open access: yesarXiv, 2005
We discuss several rigidity and flexibility phenomena in the context of Poisson geometry.
arxiv  

Weil-Petersson Metric Geometry Quick Overview [PDF]

open access: yesarXiv, 2007
A quick overview is provided on the current development of the WP metric geometry.
arxiv  

Curvature properties of Weyl geometries [PDF]

open access: yesarXiv, 2010
We examine relations between geometry and the associated curvature decompositions in Weyl geometry.
arxiv  

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