Harmonicity and minimality of complex and quaternionic radial foliations
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José Carmelo González-Dávila
Abstract
We construct special classes of totally geodesic almost regular foliations, namely, complex radial foliations in Hermitian manifolds and quaternionic radial foliations in quaternionic Kähler manifolds, and we give criteria for their harmonicity and minimality. Then examples of these foliations on complex and quaternionic space forms, which are harmonic and minimal, are presented.
Funding statement: Supported by D.G.I. (Spain) Project MTM2016-77093-P.
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- Estimates of lattice points in the discriminant aspect over abelian extension fields
- On Hecke eigenvalues of Siegel modular forms in the Maass space
- Harmonicity and minimality of complex and quaternionic radial foliations
Articles in the same Issue
- Frontmatter
- A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras
- Positive solutions for nonlinear nonhomogeneous parametric Robin problems
- Period relations for cusp forms of GSp4
- A generalization of a graph theory Mertens’ theorem: Galois covering case
- Commutators of the fractional integrals for second-order elliptic operators on Morrey spaces
- Vojta’s conjecture on rational surfaces and the abc conjecture
- The least unramified prime which does not split completely
- The ω-inequality problem for concatenation hierarchies of star-free languages
- Higher weight on GL(3). I: The Eisenstein series
- Fourier transforms of powers of well-behaved 2D real analytic functions
- Parabolic conformally symplectic structures I; definition and distinguished connections
- The quasi-arithmetic means and Cartan barycenters of compactly supported measures
- Estimates of lattice points in the discriminant aspect over abelian extension fields
- On Hecke eigenvalues of Siegel modular forms in the Maass space
- Harmonicity and minimality of complex and quaternionic radial foliations
