The volume of tubes in complex space forms
Copyright policy )The volume of tubes in complex space forms
fsing Jacobi vector fields the author derives a formula for the volume of a tube about a complex submanifold in a complex space form. He also provides a proof of the known result stating that the volumes of the tubes of radius \(r\) about two isometric complex submanifolds are the same. This problem has already been treated, also by using Jacobi vector fields, in [\textit{A. Gray} and the reviewer, Rend. Semin. Mat., Torino 39, 1-50 (1981; Zbl 0511.53059)]. [See also \textit{A. Gray}, Tubes (Reading 1990; Zbl 0692.53001) for additional information].
- Peking University China (People's Republic of)
- Peking University China (People's Republic of)
volume of a tube, complex submanifold, Global submanifolds, Global differential geometry of Hermitian and Kählerian manifolds, complex space form
volume of a tube, complex submanifold, Global submanifolds, Global differential geometry of Hermitian and Kählerian manifolds, complex space form
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