In this paper,we first construct compact embeddedλ-hypersurfaces with the topology of torus which are calledλ-torus in Euclidean spacesℝn^+1.Then,we give many compact immersedλ-hypersurfaces in Euclidean spacesℝn^+1.
基金supported by JSPS Grant-in-Aid for Scientific Research(B)(Grant No.16H03937)Challenging Exploratory Research+1 种基金supported by National Natural Science Foundation of China(Grant No.11771154)by Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2018)。
文摘In this paper,we first construct compact embeddedλ-hypersurfaces with the topology of torus which are calledλ-torus in Euclidean spacesℝn^+1.Then,we give many compact immersedλ-hypersurfaces in Euclidean spacesℝn^+1.