Chen B.-y. — Geometry of submanifolds and its applications :: Электронная библиотека попечительского совета мехмата МГУ

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Chen B.-y. — Geometry of submanifolds and its applications

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Название: Geometry of submanifolds and its applications

Автор: Chen B.-y.

Аннотация:

The present volume contains written versions of a series of talks on geometry of submanifolds and its applications delivered at Science University of Tokyo from January 16 to February 6, 1981. The material of these talks mainly bases on some of author's works and joint works done during the last few years.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1981

Количество страниц: 101

Добавлена в каталог: 30.07.2013

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Предметный указатель

$(M_{+},M_{-})$ -method      53
Anti-holomorphic submanifold      45
Cartan decomposition      55
Cayley plane      57 71
Closed manifold      2
Cohomology      43 51
Complete intersection      82
Complex submanifold      31
Conformal change of metric      17
Conformal Clifford torus      25
Conformal curvature tensor      2
Conformal group      65
Conformal inequality for $\lambda_{p}$       24
Conformal invariant      18 19
Conformal submersion      60
Conformal Veronese surface      25
Conformally flat space      2 71
CR-manifold      41
CR-product      44
CR-submanifold      41
Curvature tensor      1
Degree      29
Dynkin diagram      57
Equal-antipodal-pair space      56
Essential subgroup      65
Extrinsic scalar curvature      19
Extrinsic sphere      69
Fixed point set      55 64 65
Frechet topology      31
Gauss map      10
Generic product      36
Generic submanifold      30
Geodesic sphere      6
Hermitian symmetric space      46
Holomorphic bisectional curvature      37
Holomorphic distribution      30
Homotopy group      83
Homotopy sphere      83
Index theorem      64
Index, (Hirzebruch)      64
Knot group      27
Knot number      27
Locally symmetric space      2
Mean curvature      10 11
Mean curvature vector      3 42
Minimal submanifoldr      3
Mixed totally geodesic      35

Normal connection      2
Normal curvature      26
Normal section      3
Normal variation      8
Normalized mean curvature vector      10
Order of function      20
Order of immersion      20
Otsuki frame      16
Parallel mean curvature vector      10
Parallel normal subbundle      3
Parallel second fundamental form      3
Proper generic submanifold      36
Purely real distribution      31
Purely real submaniflod      31
Rank (of symmetric space)      54
Rank one symmetric space      6 53 55
Real-space-form      1
Regular homotopy      15
Ricci tensor      1
Rotation index      15
Satake diagram      57
Second fundamental form      2
Second fundamental tensor      2
Segre imbedding      36
Self-intersection number      26
Semi-flat normal connection      49
Simple Lie group      64
Spectrum      20
Stable submanifold      9 51
Standard generic product      37
Symmetric space      54
Symmetry      54
Total curvature      15
Total mean curvature      17
Totally absolute curvature      15
Totally real distribution      41
Totally real submanifold      40 50
Totally umbilical (t. u.) submanifold      3 65
Tubular hypersurface      63
Twisted product      60
Two-points homogeneous space      55
Unstable submanifold      9 51
Variation      8 50
Veronese imbedding      24 25
Veronese surface      25
Vertex      5
Warped product      60
Weyl group      56

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