s ^6中的完全实曲面

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-06-15 DOI:10.5556/J.TKJM.23.1992.4522

Sharief Deshmukh

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引用次数: 0

摘要

在$S^6$中，$M$的正常束$\bar \nu$分裂为$\bar\nu= JTM\oplus \bar\mu$，其中$TM$是$M$的切线束，$\bar\mu$是$\bar\nu$的子束，$J$在几乎复杂的结构下是不变的。我们研究了具有恒定高斯曲率K的全实曲面M，其第二种基本形式为$h(x, y) \in JTM$，并且我们证明了$K = 1$(即$M$是完全测地线)。

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TOTALLY REAL SURFACES IN $S^6$

The normal bundle $\bar \nu$ of a totally real surface $M$ in $S^6$ splits as $\bar\nu= JTM\oplus \bar\mu$ where $TM$ is the tangent bundle of $M$ and $\bar\mu$ is subbundle of $\bar\nu$ which is invariant under the almost complex structure $J$. We study the totally real surfaces M of constant Gaussian curvature K for which the second fundamental form $h(x, y) \in JTM$, and we show that $K = 1$ (that is, $M$ is totally geodesic).

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.