Axioms of spheres in lightlike geometry of submanifolds

作者：Rani Rachna; Kumar Rakesh^*; Nagaich R K

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2016, 126(4): 613-621.

DOI：10.1007/s12044-016-0300-9

• Lightlike submanifolds
• indefinite Kaehler manifolds
• axioms of holomorphic 2r-spheres and planes
• axioms of transversal r-spheres and planes

We prove that if an indefinite Kaehler manifold with lightlike submanifolds satisfies the axioms of holomorphic 2r-spheres, axioms of holomorphic 2r-planes, axioms of transversal r-spheres and axioms of transversal r-planes, then it is an indefinite complex space form.

• 出版日期2016-11