Blaschke Umbilical Submanifolds In The Conformal Space

Submanifolds geometry is a important research area in differential geometry,many experts and scholars have made great contributions to the research of differential geometry.This paper mainly studies the Blaschke umbilical submanifolds and Blaschke quasi-umbilical submanifolds in the conformal space.By studying the relationship between the constant volume curvature submanifolds in Lorentz space and a class of umbilical manifolds in the conformal space,the classification of Blaschke umbilical submanifolds and Blaschke quasi-umbilical submanifolds in the conformal space is given.The text is divided into six chapters,which are described in detail below.In the first chapter,we introduces the research background of Blaschke umbilical submanifolds and Blaschke quasi-umbilical submanifolds.In the second chapter,we lists some definitions and theorems to help us under-stand the symbol meanings involved in the article.In the third chapter,three kinds of Lorentz space forms are defined,and the basic equations of submanifold are calculated in detail.The fourth chapter,the classification of Blaschke umbilical submanifolds is given:(1)...