Gromov M. — Metric Structures for Riemannian and Non-Riemannian Spaces :: Электронная библиотека попечительского совета мехмата МГУ

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Gromov M. — Metric Structures for Riemannian and Non-Riemannian Spaces

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Название: Metric Structures for Riemannian and Non-Riemannian Spaces

Автор: Gromov M.

Аннотация:

This book explores exciting new connections between geometry and probability theory, as well as their links to analysis. This well-written book includes numerous illustrations and examples and will serve as a valuable resource for geometers, analysts, and probabilists.

Язык:

Рубрика: Математика/Геометрия и топология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 577

Добавлена в каталог: 16.04.2005

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Предметный указатель

weights      B.21.1
$A_\infty$ weights, measures      B.17
$\varepsilon$ -flat curves      B.14.6
$\varepsilon$ -flat hypersurfaces      B.16.1 B.16.2
Ahlfors      ??
Ahlfors regularity      B.3.8
Amenable      C. C.
Ascoli      ?? ??
Avez      B. B.
Berger sphere      A.
Betti      B. A.
Bilipschitz mappings      0
Bishop      A. B.2.6
Bounded mean oscillation (BMO)      B.11
Calderon — Zygmund approximation      B.39
Canonical metric      B.
Capacity ( $\varepsilon$ -)      C. ??
Carleson set      B.29.4
Carnot — Caratheodory      C.
Cocompact      C.
Comass      C.
Commensurable      ??
Compactness      B. A. ??
conformal      A.
Curvature, growth exponential      B.
Curvature, growth polynomial      B.
Curvature, pinched      ??
Curvature, Ricci      A. D.
Curvature, sectional      ??
Curvature, short      A.
Cusp      A.
Degree      A.
Diameter      A. ??
Dilatation      A.
Dimension, Hausdorff      ??
Dimension, isoperimetric      B.
Distance, Hausdorff      A.
Distance, Hausdorff — Lipschitz      C.
Distance, Lipschitz      A.
Doubling condition, for metric spaces      B.2.3
Doubling measures      B.3.1
Dyadic cubes      B.38
entropy      B.
Fibration (Hopf)      A.
Flat manifold      D.
Flat torus      B. ??
Form, differential      B.
Form, second fundamental      77
Form, volume      A.
g-dimensional, isoperimetric      D.
Geodesic      B.
Geodesic, minimizing      B.
Geodesic, periodic      A.
Group, amenable      C.
Group, free      B.
Group, fundamental      C.
Group, Heisenberg      B.
Group, Lie      77
Group, nilpotent      77
Group, solvable      C.
Hausdorff dimension      77
Hausdorff distance      A.
Hausdorff — Lipschitz distance      C.
Heisenberg group      B. B.2.12
Hoelder continuity      B.6.1
Homogeneous space      77 6.8
Hopf fibration      A.
Hopf invariant      B.
Hurewicz homomorphism      C.
Injectivity radius      B. ??

Invariant (Hopf)      B.
Isometry (arc-wise)      D.
Isoperimetric dimension      B.
Isoperimetric inequality      B.
Jacobi equation      ??
Jacobi field      ??
Jacobi variety      C.
Jacobian      A.
Kaehler manifold      D.
Length structure      A.
Limit norm      ??
Liouville      B.
Lipschitz distance      A.
Lipschitz function      B.2.6
Lipschitzian      A.
Loewner      A.
Mahler compactness theorem      A ??
Margulis lemma      D. ??
Mass      C.
Maximal functions      B.32.1 B.35.1 B.37.3
Metric, canonical      B.
Metric, doubling measure      B.19.2
Metric, path      A.
Metric, quotient      ?? ??
Minimal model      B.
Minkowski      ??
Net      C.
Nilpotent group      77
Norm, algebraic      C.
Norm, geometric      C.
Norm, limit      77
Norm, stable      C.
Open at infinity      B.
Path metric space      B.
Picard      B.
Pinched      A. ??
Poincare lemma      B.
Polyhedron      C.
Precompactness      A.
Projective space      A. D.
Pseudogroup      77
Quasi-isometry (arc-wise)      A.
Quasiconvex      Appendix A
Quasimetric      B.2.1
Quasiminimum      D.
Quasiregular      A.
Quasisymmetric mappings      B.4.1
Quotient, length structure      ??
Quotient, metric      ??
Rectifiable sets      B.24
Regular mappings      B.27.1
Ricci curvature      A.
Riesz products      B.3.10
Sierpinski carpet      B.2.11—B.2.12
Sierpinski gasket      B.2.11—B.2.12
simplex      D. A.
Snowflake functor      B.2.8
Spaces of homogeneous type      B.8
Stable norm      C.
Sullivan      B.
Triangulation      D. A.
Tube      ??
Ultrametric      B.2.11
Uniform rectifiability      B.25.2 B.25.3
Uniformly perfect sets      B.4.3
Vanishing mean oscillation      B.10
Variety (Jacobi)      C.
Volume      A. B. ??
Weak derivatives      B.35.2
Weak-type inequality      B.32.4
Wirtinger      D.

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