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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hsiung, Chuan-Chih
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2001.
Temas:
Hsiung, Chuan-Chih, > 1916-2009.
Hsiung, Chuan-Chih, > 1916-2009
Geometry, Differential.
Géométrie différentielle.
Geometry, Differential
Acceso en línea:Texto completo

MARC

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520 |a 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 working on projective differential geometry under Prof Buchin Su. In 1946, he went to the United States, where he gradually shifted to global problems. Altogether Prof Hsiung has published about 100 research papers, from which he has selected 64 (in chronological order) for this volume. Contents: Proj. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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. 
505 8 |a 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 
505 8 |a 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 
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600 1 0 |a Hsiung, Chuan-Chih,  |d 1916-2009. 
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650 0 |a Geometry, Differential. 
650 6 |a Géométrie différentielle. 
650 7 |a Geometry, Differential  |2 fast 
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