On the locally conformally flat hyper surfaces with nonnegative scalar curvature in r5

75 341 0

Mục lục

new1.pdf
Thesis.pdf
- Declaration
- Acknowledgements
- Dedication
- Contents
- Summary
- List of notations and conventions
- Introduction
  - Studies on open surfaces
  - Studies on locally conformally flat open four dimensional manifolds
  - Results of this paper
  - Backgrounds and Preparation
    - Riemann connection, Curvatures and second fundamental form
    - Qn curvature and Qn curvature equation
    - Chern-Gauss-Bonnet formula
    - High Dimensional Chern-Gauss-Bonnet formula
      - Chern-Gauss-Bonnet formula for Rn
      - Geometric conditions for metric to be normal
      - Chern-Gauss-Bonnet formula in Local version
      - Chern-Gauss-Bonnet formula for conformally flat manifolds
      - Controlling the number of ends by the mean curvature
      - Mean curvature and embedding
        Decomposition of the conformal factor
        Immersion and Embedding

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On the locally conformally flat hyper surfaces with nonnegative scalar curvature in r5

Thông tin tài liệu

Từ khóa liên quan

Mục lục

new1.pdf

Thesis.pdf

Declaration

Acknowledgements

Dedication

Contents

Summary

List of notations and conventions

Introduction

Studies on open surfaces

Studies on locally conformally flat open four dimensional manifolds

Results of this paper

Backgrounds and Preparation

Riemann connection, Curvatures and second fundamental form

Qn curvature and Qn curvature equation

Chern-Gauss-Bonnet formula

High Dimensional Chern-Gauss-Bonnet formula

Chern-Gauss-Bonnet formula for Rn

Geometric conditions for metric to be normal

Chern-Gauss-Bonnet formula in Local version

Chern-Gauss-Bonnet formula for conformally flat manifolds

Controlling the number of ends by the mean curvature

Mean curvature and embedding

Decomposition of the conformal factor

Immersion and Embedding

Tài liệu cùng người dùng

Tài liệu liên quan