Mathematische Zeitschrift, ISSN 0025-5874, 12/2017, Volume 287, Issue 3, pp. 1183 - 1213

We classify polar actions on complex hyperbolic spaces up to orbit equivalence.

53C35 | Mathematics, general | Complex hyperbolic space | Mathematics | 57S20 | Polar action | Kähler angle | Kahler angle | RANK-ONE | MATHEMATICS | LIE-GROUPS | SUBMANIFOLDS | FOLIATIONS | SYMMETRIC-SPACES | COHOMOGENEITY ONE ACTIONS | HYPERPOLAR | Mathematics - Differential Geometry

53C35 | Mathematics, general | Complex hyperbolic space | Mathematics | 57S20 | Polar action | Kähler angle | Kahler angle | RANK-ONE | MATHEMATICS | LIE-GROUPS | SUBMANIFOLDS | FOLIATIONS | SYMMETRIC-SPACES | COHOMOGENEITY ONE ACTIONS | HYPERPOLAR | Mathematics - Differential Geometry

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2016, Volume 368, Issue 2, pp. 1211 - 1249

The main tool developed in this work is a method to study singular Riemannian foliations with closed leaves on complex projective spaces. This method is based...

Inner symmetric space | Extended Vogan diagram | FKM-foliation | Isoparametric foliation | Polar action | Inhomogeneous isoparametric foliation | Complex projective space | POLAR REPRESENTATIONS | SPHERES | CLASSIFICATION | MULTIPLICITIES | polar action | MATHEMATICS | inner symmetric space | inhomogeneous isoparametric foliation | SUBMANIFOLDS | SYMMETRIC-SPACES | HYPERSURFACES | 4 PRINCIPAL CURVATURES | extended Vogan diagram | complex projective space

Inner symmetric space | Extended Vogan diagram | FKM-foliation | Isoparametric foliation | Polar action | Inhomogeneous isoparametric foliation | Complex projective space | POLAR REPRESENTATIONS | SPHERES | CLASSIFICATION | MULTIPLICITIES | polar action | MATHEMATICS | inner symmetric space | inhomogeneous isoparametric foliation | SUBMANIFOLDS | SYMMETRIC-SPACES | HYPERSURFACES | 4 PRINCIPAL CURVATURES | extended Vogan diagram | complex projective space

Journal Article

Advances in Mathematics, ISSN 0001-8708, 07/2019, Volume 351, pp. 718 - 760

We show that a wide range of overdetermined boundary problems for semilinear equations with position-dependent nonlinearities admits nontrivial solutions. The...

Symmetric spaces | Asymptotically homogeneous spaces | Semilinear elliptic problems | Harmonic spaces | Overdetermined boundary value problems | EXTREMAL DOMAINS | 1ST EIGENVALUE | CLASSIFICATION | PROOF | HYPERPOLAR | MATHEMATICS | SYMMETRY | MASS

Symmetric spaces | Asymptotically homogeneous spaces | Semilinear elliptic problems | Harmonic spaces | Overdetermined boundary value problems | EXTREMAL DOMAINS | 1ST EIGENVALUE | CLASSIFICATION | PROOF | HYPERPOLAR | MATHEMATICS | SYMMETRY | MASS

Journal Article

Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 4/2018, Volume 197, Issue 2, pp. 469 - 486

We give a geometric characterization of certain hypersurfaces of cohomogeneity one in the complex projective and hyperbolic planes. We also obtain some partial...

53C42 | Cohomogeneity one | Strongly 2-Hopf | 53B25 | Austere | Complex projective plane | Levi-flat | Mathematics | 57S20 | Polar action | 57S15 | Ruled | Constant mean curvature | Complex hyperbolic plane | Mathematics, general | MATHEMATICS, APPLIED | SPACE FORMS | MATHEMATICS | CONSTANT PRINCIPAL CURVATURES | SUBMANIFOLDS | REAL HYPERSURFACES

53C42 | Cohomogeneity one | Strongly 2-Hopf | 53B25 | Austere | Complex projective plane | Levi-flat | Mathematics | 57S20 | Polar action | 57S15 | Ruled | Constant mean curvature | Complex hyperbolic plane | Mathematics, general | MATHEMATICS, APPLIED | SPACE FORMS | MATHEMATICS | CONSTANT PRINCIPAL CURVATURES | SUBMANIFOLDS | REAL HYPERSURFACES

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 10/2019, Volume 144, pp. 121 - 125

We show that ruled real hypersurfaces with constant mean curvature in the complex projective and hyperbolic spaces must be minimal. This provides their...

Minimal hypersurface | Complex hyperbolic space | Constant mean curvature | Complex space form | Complex projective space | Ruled hypersurface | MATHEMATICS | SUBMANIFOLDS | PHYSICS, MATHEMATICAL | REAL HYPERSURFACES

Minimal hypersurface | Complex hyperbolic space | Constant mean curvature | Complex space form | Complex projective space | Ruled hypersurface | MATHEMATICS | SUBMANIFOLDS | PHYSICS, MATHEMATICAL | REAL HYPERSURFACES

Journal Article

Tohoku Mathematical Journal, ISSN 0040-8735, 09/2018, Volume 70, Issue 3, pp. 353 - 375

We classify irreducible polar foliations of codimension q on quaternionic projective spaces HPn, for all (n, q) not equal (7, 1). We prove that all irreducible...

Polar foliation | Symmetric space | Singular riemannian foliation | FKM-foliation | Homogeneous foliation | Quaternionic projective space | S-representation | singular Riemannian foliation | DISTINCT PRINCIPAL CURVATURES | REPRESENTATIONS | SPHERES | COMPACT LIE-GROUPS | ISOPARAMETRIC HYPERSURFACES | symmetric space | homogeneous foliation | CLASSIFICATION | quaternionic projective space | MATHEMATICS | SYMMETRIC-SPACES | s-representation

Polar foliation | Symmetric space | Singular riemannian foliation | FKM-foliation | Homogeneous foliation | Quaternionic projective space | S-representation | singular Riemannian foliation | DISTINCT PRINCIPAL CURVATURES | REPRESENTATIONS | SPHERES | COMPACT LIE-GROUPS | ISOPARAMETRIC HYPERSURFACES | symmetric space | homogeneous foliation | CLASSIFICATION | quaternionic projective space | MATHEMATICS | SYMMETRIC-SPACES | s-representation

Journal Article

Manuscripta Mathematica, ISSN 0025-2611, 2018, Volume 161, Issue 1-2, pp. 15 - 34

We show that simply connected Riemannian homogeneous spaces of compact semisimple Lie groups with polar isotropy actions are symmetric, generalizing results of...

MATHEMATICS | CLASSIFICATION | HYPERPOLAR | SPACES

MATHEMATICS | CLASSIFICATION | HYPERPOLAR | SPACES

Journal Article

Physical Review Letters, ISSN 0031-9007, 02/2013, Volume 110, Issue 8, p. 081803

A study is presented of the mass and spin-parity of the new boson recently observed at the LHC at a mass near 125 GeV. An integrated luminosity of 17: 3...

BROKEN SYMMETRIES | MODEL | PHYSICS, MULTIDISCIPLINARY | GAUGE | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment

BROKEN SYMMETRIES | MODEL | PHYSICS, MULTIDISCIPLINARY | GAUGE | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 1/2017, Volume 27, Issue 1, pp. 442 - 465

We find the first examples of real hypersurfaces with two nonconstant principal curvatures in complex projective and hyperbolic planes, and we classify them....

53C42 | Non-Hopf real hypersurface | 53B25 | 53D12 | Mathematics | 57S20 | Polar action | Parallel mean curvature | Complex projective space | Abstract Harmonic Analysis | 57S15 | Fourier Analysis | Principal curvatures | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Complex hyperbolic space | Differential Geometry | Dynamical Systems and Ergodic Theory | CP2 | SPACE FORMS | RANK | VECTOR | MATHEMATICS | PARALLEL SUBMANIFOLDS | SURFACES

53C42 | Non-Hopf real hypersurface | 53B25 | 53D12 | Mathematics | 57S20 | Polar action | Parallel mean curvature | Complex projective space | Abstract Harmonic Analysis | 57S15 | Fourier Analysis | Principal curvatures | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Complex hyperbolic space | Differential Geometry | Dynamical Systems and Ergodic Theory | CP2 | SPACE FORMS | RANK | VECTOR | MATHEMATICS | PARALLEL SUBMANIFOLDS | SURFACES

Journal Article

Journal of Instrumentation, ISSN 1748-0221, 02/2017, Volume 12, Issue 2, pp. P02014 - P02014

Improved jet energy scale corrections, based on a data sample corresponding to an integrated luminosity of 19.7 fb(-1) collected by the CMS experiment in...

Performance of High Energy Physics Detectors | Large detector-systems performance | INSTRUMENTS & INSTRUMENTATION | ALGORITHM | Uncertainty | Simulation | Energy resolution | Variability | Collisions | Instrumentation | Channels | Flavours | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | large detector-system performance | performance of high energy physics detector | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Performance of High Energy Physics Detectors | Large detector-systems performance | INSTRUMENTS & INSTRUMENTATION | ALGORITHM | Uncertainty | Simulation | Energy resolution | Variability | Collisions | Instrumentation | Channels | Flavours | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | large detector-system performance | performance of high energy physics detector | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Annals of Global Analysis and Geometry, ISSN 0232-704X, 3/2018, Volume 53, Issue 2, pp. 205 - 216

We show that an isoparametric submanifold of a complex hyperbolic plane, according to the definition of Heintze, Liu and Olmos’, is an open part of a principal...

53C40 | 53C35 | 53C12 | Theoretical, Mathematical and Computational Physics | Complex projective plane | Isoparametric submanifold | Mathematics | Polar action | Geometry | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | principal curvatures | Complex hyperbolic plane | Group Theory and Generalizations | MATHEMATICS | CONSTANT PRINCIPAL CURVATURES | FOLIATIONS | REAL HYPERSURFACES | Needlework | Manifolds (mathematics)

53C40 | 53C35 | 53C12 | Theoretical, Mathematical and Computational Physics | Complex projective plane | Isoparametric submanifold | Mathematics | Polar action | Geometry | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | principal curvatures | Complex hyperbolic plane | Group Theory and Generalizations | MATHEMATICS | CONSTANT PRINCIPAL CURVATURES | FOLIATIONS | REAL HYPERSURFACES | Needlework | Manifolds (mathematics)

Journal Article

Advances in Mathematics, ISSN 0001-8708, 07/2017, Volume 314, pp. 756 - 805

We classify isoparametric hypersurfaces in complex hyperbolic spaces.

Complex hyperbolic space | Isoparametric hypersurface | Kähler angle | Kahler angle | FORMS | MATHEMATICS | CONSTANT PRINCIPAL CURVATURES | PROJECTIVE-SPACE | COHOMOGENEITY ONE ACTIONS | REAL HYPERSURFACES | Mathematics - Differential Geometry

Complex hyperbolic space | Isoparametric hypersurface | Kähler angle | Kahler angle | FORMS | MATHEMATICS | CONSTANT PRINCIPAL CURVATURES | PROJECTIVE-SPACE | COHOMOGENEITY ONE ACTIONS | REAL HYPERSURFACES | Mathematics - Differential Geometry

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 2015, Volume 2015, Issue 22, pp. 12114 - 12125

We propose a method to extend submanifolds, singular Riemannian foliations and isometric actions from a boundary component of a noncompact symmetric space to...

MATHEMATICS | HYPERSURFACES

MATHEMATICS | HYPERSURFACES

Journal Article

Journal of Instrumentation, ISSN 1748-0221, 04/2013, Volume 8, Issue 4, pp. 1 - 65

At the Large Hadron Collider, the identification of jets originating from b quarks is important for searches for new physics and for measurements of standard...

Performance of High Energy Physics Detectors | Large detector-systems performance | Pattern recognition, cluster finding, calibration and fitting methods | INSTRUMENTS & INSTRUMENTATION | TO-LEADING ORDER | Algorithms | Large Hadron Collider | Decay | Luminosity | Instrumentation | Jets | Mathematical models | Marking | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Performance of High Energy Physics Detectors | Large detector-systems performance | Pattern recognition, cluster finding, calibration and fitting methods | INSTRUMENTS & INSTRUMENTATION | TO-LEADING ORDER | Algorithms | Large Hadron Collider | Decay | Luminosity | Instrumentation | Jets | Mathematical models | Marking | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

European Physical Journal C, ISSN 1434-6044, 05/2015, Volume 75, Issue 5, p. 1

Properties of the Higgs boson with mass near 125 GeV are measured in proton-proton collisions with the CMS experiment at the LHC. Comprehensive sets of...

TRANSVERSE-MOMENTUM | TOP-PAIR | RATIOS | NLO | RESUMMATION | ELECTROWEAK CORRECTIONS | BROKEN SYMMETRIES | HADRON COLLIDERS | LHC | QCD CORRECTIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment

TRANSVERSE-MOMENTUM | TOP-PAIR | RATIOS | NLO | RESUMMATION | ELECTROWEAK CORRECTIONS | BROKEN SYMMETRIES | HADRON COLLIDERS | LHC | QCD CORRECTIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Experiment | Physics | High Energy Physics - Experiment

Journal Article

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