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Abstract
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In this paper, we investigate the codimension reduction theorem
for an n-dimensional submanifold of an (n + p)-dimensional manifold (M˜ , g˜)
with a conformal change ˜g = exp(−f)g where g denotes the Fubini-study
metric on (n + p)-dimensional complex projective space P
n+p
(C). Moreover,
we tend to calculate the scalar curvature of an n-dimensional CR submanifold
of maximal CR dimension of (M˜ , g˜) and achieve the sufficient conditions for
the existence of a totally geodesic submanifold M that includes M.
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