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Selected Papers of C C Hsiung.
This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry . During the period of 1935-1943, Prof Hsiung was in China wo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Personal and Professional History; TABLE OF CONTENTS; Sopra il Contatto di Due Curve Piane; A Theorem on the Tangram; 1. Introduction; 2. Lemmas; 3. Proof of the theorem; 4. Remark; Projective Differential Geometry of a Pair of Plane Curves; 1. Introduction; 2. Two projective invariants; 3. The canonical triangle and geometrical characterizations of the invariants; 4. Canonical power series expansions; 5. A generalization of the covariant line of Bompiani; An Invariant of Intersection of Two Surfaces; 1. Introduction; 2. Derivation; 3. A projectively geometric characterization
- 4. A metrically geometric characterizationProjective Invariants of a Pair of Surfaces; 1. Introduction; 2. A projective invariant; 3. A geometrical characterization of the invariant I; 4. Certain projective transformations and invariants; Projective Invariants of Intersection of Certain Pairs of Surfaces; 1. Introduction; I. TWO SURFACES WITH DISTINCT TANGENT PLANES AND DISTINCT ASYMPTOTIC TANGENTS AT AN ORDINARY POINT; 2. Derivation of invariants.; 3. Projective characterizations of the invariants I J
- II . TWO SURFACES WITH DISTINCT TANGENT PLANES AND A COMMON ASYMPTOTIC TANGENT AT AN ORDINARY POINT4. Derivation of an invariant.; 5. A projective characterization of the invariant I; REFERENCES; Some Invariants of Certain Pairs of Hypersurfaces; Introduction; CHAPTER I. TWO HYPERSURFACES WITH COMMON TANGENT HYPERPLANE AT TWO ORDINARY POINTS; 1. Derivation of an invariant.; 2. A projective characterization of the invariant I; 3. A metric characterization of the invariant I; CHAPTER II. TWO HYPERSURFACES WITH DISTINCT TANGENT HYPERPLANES AT TWO ORDINARY POINTS; 4. Derivation of invariants.
- 5. Projective characterizations of the invariants I J6. Metric characterizations of the invariants I J; A Projective Invariant of a Certain Pair of Surfaces; REFERENCES; Projective Invariants of Contact of Two Curves in Space of n Dimensions; 1. Introduction; 2. Derivation of invariants; 3. Geometrical characterizations of the invariants Ji n~i+2; 4. A geometrical characterization of a general invariant Iij; On Triplets of Plane Curvilinear Elements with a Common Singular Point; 1. Introduction; 2. Derivation of an invariant; 3. Geometrical characterizations of the invariant I
- Invariants of Intersection of Certain Pairs of Curves in n-Dimensional SpaceIntroduction; CHAPTER I. Two Curves Intersecting at an Ordinary Point With Distinct Osculating Linear Spaces.; 1. Derivation of Invariants.; 2. Metric and projective characterizations of a general invariant Ii.; CHAPTER II. Two Curves Intersecting at an Ordinary Point With Distinct Tangents But Certain Common Osculating Linear Spaces.; 3. Derivation of invariants.; 4. Metric and projective characterizations of general invariants Ii and Ji.; Affine Invariants of a Pair of Hypersurfaces; 1. Introduction