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Manifolds (Mathematics)

概要

作品:	120 作品在 54 項出版品 54 種語言

書目資訊

Introduction to smooth manifolds / by: (書目-語言資料,印刷品)

Lectures on ergodic theory and Pesin theory on compact manifolds / by: (書目-語言資料,印刷品)

Large deviations and the Malliavin calculus / by: (書目-語言資料,印刷品)

Geometry of manifolds / by: (書目-語言資料,印刷品)

Algebraic geometry I : = algebraic curves, algebraic manifolds and schemes / by: (書目-語言資料,印刷品)

Twistor theory for Riemannian symmetric spaces : = with applications to harmonic maps of Riemann surfaces / by: (書目-語言資料,印刷品)

Hypo-analytic structures : = local theory / by: (書目-語言資料,印刷品)

Methods of bifurcation theory / by: (書目-語言資料,印刷品)

Sheaves on manifolds / by: (書目-語言資料,印刷品)

Stable mappings and their singularities / by: (書目-語言資料,印刷品)

主題

Differential equations, Hypoelliptic.

Projective modules (Algebra)

Differential operators.

Symmetric spaces.

Vector fields.

Mirror symmetry.

Foliations (Mathematics)

Algebraic number theory.

Mechanics.

Relativity (Physics)

Curves.

Geometric measure theory.

Wave equation.

Differentiable manifolds.

Classical and Quantum Gravitation, Relativity Theory.

Nonlinear Dynamics.

Cohomology operations.

Classical and Continuum Physics.

Triangulating manifolds.

Diophantine approximation.

Moduli theory.

Communications Engineering, Networks.

Signal, Image and Speech Processing.

Variables (Mathematics)

Mathematical analysis

Visualization.

Diffeomorphisms.

Group Theory and Generalizations.

Topology.

Conformal geometry.

Regression analysis.

Complex Systems.

Astrophysics.

Space and time.

Manifolds and cell complexes -- PL-topology -- Knots and links (in high dimensions).

Ordered groups.

Manifolds and cell complexes -- Research exposition (monographs, survey articles).

Group theory and generalizations -- Special aspects of infinite or finite groups -- Ordered groups.

Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Applications to minimal surfaces (problems in two independent variables).

Algebraic topology -- Research exposition (monographs, survey articles).

Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Global differential geometry [See also 51H25, 58-XX; for related bund

Commutative algebra.

Diffusion processes.

Geometry, Differential.

Normal forms (Mathematics)

Geometry, Riemannian

Homotopy theory.

Four-manifolds (Topology)

Morse theory.

Several Complex Variables and Analytic Spaces.

Algebra.

Complex manifolds.

Hamiltonian systems.

Topological manifolds.

Semi-Riemannian geometry.

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.

Differential calculus.

Riesz spaces.

Operator Theory.

Topological Groups and Lie Groups.

Motion- Mathematics.

Manifolds (Mathematics)

Isotopies (Mathematics)

Differential equations, Elliptic.

K醀hlerian manifolds.

Riemannian manifolds.

Global Analysis and Analysis on Manifolds.

Algebraic Geometry.

Calculus of variations.

Decomposition (Mathematics)

Low-dimensional topology

Hodge theory

Algebraic varieties

Algebraic topology

Spatial analysis (Statistics)

Contact manifolds.

Lie groups.

Data-driven Science, Modeling and Theory Building.

Quantum Information Technology, Spintronics.

Operator theory.

Curvature.

Ricci flow.

Engineering Mathematics.

Multifractals.

Manifolds and cell complexes -- Topological manifolds -- General position and transversality.

Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Abstract critical point theory (Morse theory, Ljusternik-Schnirelmann (Lyusternik-Shnirel'mann) theory, etc.).

Functional analysis -- Nonlinear functional analysis -- Manifolds of mappings.

Algebraic topology -- Homotopy theory -- Rational homotopy theory.

Pseudodifferential operators.

Algebras, Linear.

Heat equation.

Surgery (Topology)

Dirac equation.

Mathematical physics.

Geometry, Algebraic.

Integrals.

Mathematics.

Topological Groups, Lie Groups.

Functions of a Complex Variable.

Calculus of Variations and Optimal Control.

Ordinary Differential Equations.

Symplectic and contact topology

Simplexes (Mathematics)

Global analysis (Mathematics)

Lie algebras.

Geometry

Mathematical Methods in Physics.

Vibration, Dynamical Systems, Control.

Multivariate analysis- Computer programs.

Global Riemannian geometry.

Analysis.

Potential Theory.

Condensed Matter Physics.

Knot theory.

Differential geometry -- Global differential geometry -- Global Riemannian geometry, including pinching.

Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- Research exposition (monographs, survey articles).

Curves, Algebraic.

Differential topology.

Forms, Modular.

Geometry, Riemannian.

Elliptic operators.

Boundary value problems.

Functional Analysis.

Stability.

Dynamical Systems and Ergodic Theory.

Global differential geometry.

Geography- Statistical methods.

Category Theory, Homological Algebra.

Continuum Mechanics and Mechanics of Materials.

Gravitation.

Quantum theory.

Lagrangian functions.

Symplectic and contact topology.

Holomorphic functions.

Coding and Information Theory.

Functions of complex variables.

Supersymmetry.

General Relativity.

Cosmology.

Manifolds and cell complexes -- Topological manifolds -- Geometric structures on manifolds.

Low-dimensional topology.

Piecewise linear topology.

Invariants.

Harmonic maps.

Twistor theory.

Bifurcation theory.

Functional differential equations.

Differentiable mappings.

Representations of groups.

Differential forms.

Galois theory.

Dynamics.

Calculus of tensors.

Manifolds and Cell Complexes (incl. Diff.Topology)

Optimization.

Partial Differential Equations.

Mathematical analysis.

Quantum field theory.

Algebraic cycles

Quantum Physics.

Mathematical Physics.

Manifolds and Cell Complexes (incl. Diff.Topology).

Systems Theory, Control.

Computational Mathematics and Numerical Analysis.

Geometric analysis.

Multivariate analysis.

Computer science- Mathematics.

Order, Lattices, Ordered Algebraic Structures.

Computer Imaging, Vision, Pattern Recognition and Graphics.

Manifolds and cell complexes -- PL-topology -- Comparison of PL-structures: classification, Hauptvermutung.

Manifolds and cell complexes -- Low-dimensional topology -- Topological methods in group theory.

Differential equations, Partial- Asymptotic theory.

Schemes (Algebraic geometry)

Atiyah-Singer index theorem.

Differentiable dynamical systems.

Sheaf theory.

Homology theory.

Vector Bundles.

Finsler spaces.

Generalized spaces.

Surfaces.

Algebraic Topology.

Differential Geometry.

Homogeneous spaces.

Group actions (Mathematics)

Nonparametric statistics.

Fixed point theory.

Chern classes.

Geometry, Algebraic

Engineering.

Physics.

Intersection theory (Mathematics)

Hausdorff measures.

Math Applications in Computer Science.

Functional analysis.

Topology

Theoretical, Mathematical and Computational Physics.

Classical and Quantum Gravity.

Three-manifolds (Topology)

Manifolds and cell complexes -- Topological manifolds -- Neighborhoods of submanifolds.

Manifolds and cell complexes -- PL-topology -- Triangulating manifolds.

Minimal surfaces.

Algebraic topology.

Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} -- Research exposition (monographs, survey articles).

Functions of a complex variable {For analysis on manifolds, see 58-XX} -- Riemann surfaces.

Ergodic theory.

Malliavin calculus.

Differential equations, Partial.

Algebra, Homological.

Singularities (Mathematics)

Forms, Quadratic.

Nonlinear theories.

Quantum statistics.

Differential equations, Hyperbolic.

Torsion theory (Algebra)

Algebraic cycles.

Geometry.

Rigidity (Geometry)

Kobayashi, Shoshichi,

Mathematical Applications in the Physical Sciences.

Numerical and Computational Physics, Simulation.

Pseudoholomorphic curves.

Control theory.

Topological groups.

Subharmonic functions.

Mathematical optimization.

Manifolds and cell complexes -- PL-topology -- Regular neighborhoods.