Research profile
Works on sasakian & contact geometry, Kähler–Ricci flow and Einstein metrics.
NP-RC-5470940000-0001-9845-3435
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We analyze the transverse Kähler-Ricci flow equation on Sasaki-Ein\-stein space . Explicit solutions are produced representing new five-dimensional Sasaki structures. Solutions which do not modify the transverse metric preserve the Sasaki-Einstein feature of the contact structure. If the transverse metric is altered, the deformed metrics remain Sasaki, but not Einstein.
In this paper we investigate the possibility to obtain locally new Sasaki-Einstein metrics on the space considering a deformation of the standard metric tensor field. We show that from the geometric point of view this deformation leaves transverse and the leafwise metric intact, but changes the orthogonal complement of the Reeb vector field using a particular basic function. In particular, the family of metric obtained using this method can be regarded as solutions of the equation associated to the Sasaki-Ricci flow on the underlying manifold.
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NP-RC-547094 is Mihai Visinescu's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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