The paintings in the Yuan Dynasty, because oft.heir unique characteristics of the times, have made a deep and superexcellent track in the history of the Chinese painting, among which the literati landscape paintings r...The paintings in the Yuan Dynasty, because oft.heir unique characteristics of the times, have made a deep and superexcellent track in the history of the Chinese painting, among which the literati landscape paintings represented the subject of the paintings in the Yuan Dynasty. And in the literati paintings, Ni Zan＇s paintings are the most representative. The application of the pen and ink in his works is concise and thinly scattered, and the artistic conception is cold and desolate. In this paper, with ＂Map of a fishing village in an autumn sunny day after the rain＂ as an example, the author analyzes Ni Zan＇s painting style and the causes of its formation.展开更多
Call a periodic map h on the closed orientable surface Σg extendable if h extends to a periodic map over the pair(S3, Σg) for possible embeddings e : Σg→ S3. The authors determine the extendabilities for all perio...Call a periodic map h on the closed orientable surface Σg extendable if h extends to a periodic map over the pair(S3, Σg) for possible embeddings e : Σg→ S3. The authors determine the extendabilities for all periodical maps on Σ2. The results involve various orientation preserving/reversing behalves of the periodical maps on the pair(S3, Σg). To do this the authors first list all periodic maps on Σ2, and indeed the authors exhibit each of them as a composition of primary and explicit symmetries, like rotations, reflections and antipodal maps, which itself should be interesting. A by-product is that for each even g,the maximum order periodic map on Σg is extendable, which contrasts sharply with the situation in the orientation preserving category.展开更多
文摘The paintings in the Yuan Dynasty, because oft.heir unique characteristics of the times, have made a deep and superexcellent track in the history of the Chinese painting, among which the literati landscape paintings represented the subject of the paintings in the Yuan Dynasty. And in the literati paintings, Ni Zan＇s paintings are the most representative. The application of the pen and ink in his works is concise and thinly scattered, and the artistic conception is cold and desolate. In this paper, with ＂Map of a fishing village in an autumn sunny day after the rain＂ as an example, the author analyzes Ni Zan＇s painting style and the causes of its formation.
基金supported by the National Natural Science Foundation of China(No.10631060)
文摘Call a periodic map h on the closed orientable surface Σg extendable if h extends to a periodic map over the pair(S3, Σg) for possible embeddings e : Σg→ S3. The authors determine the extendabilities for all periodical maps on Σ2. The results involve various orientation preserving/reversing behalves of the periodical maps on the pair(S3, Σg). To do this the authors first list all periodic maps on Σ2, and indeed the authors exhibit each of them as a composition of primary and explicit symmetries, like rotations, reflections and antipodal maps, which itself should be interesting. A by-product is that for each even g,the maximum order periodic map on Σg is extendable, which contrasts sharply with the situation in the orientation preserving category.
