On a conformal Killingp-form in a compact sasakian space
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Let M be a compact Sasakian space admitting a conformal Killing p-form u. Then, we show that the associated form ϑ of a conformal Killing form u is a special Killing form with constant 1. Moreover we prove the decomposition theorem of u and seek the condition for M to be a unit sphere.
KeywordsUnit Sphere Decomposition Theorem Conformal Killing Associate Form Killing Form
- S. Yamaguchi,On a conformal Killing tensor of degree 2 in a Sasakian space, Tensor N.S.,21 (1972), pp. 165–168.Google Scholar