REVIEW 2 cited by
On Hermitian manifolds with Bismut-Strominger parallel torsion
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
In this article, we study Hermitian manifolds whose Bismut-Strominger connection has parallel torsion tensor, which will be called {\em Bismut torsion parallel manifolds,} or {\em BTP} manifolds for short. We obtain a necessary and sufficient condition characterizing this class in terms of the curvature tensor. In particular, Bismut flat or Bismut K\"ahler-like manifolds are {\em BTP} manifolds, known by our earlier results. We also obtain structural results for non-balanced {\em BTP} manifolds, and classification theorems for non-balanced {\em BTP} threefolds and balanced {\em BTP} threefolds.
Forward citations
Cited by 2 Pith papers
-
Compact balanced threefolds and LCK manifolds with constant holomorphic sectional curvature
Compact balanced threefolds with nonpositive constant Chern holomorphic sectional curvature are Chern flat (c=0) or Kähler (c<0), and constant-curvature LCK manifolds are Kähler or Hopf-covered.
-
Almost Calabi-Yau with torsion 6-manifolds and the instanton condition
On compact or balanced almost Calabi-Yau 6-manifolds with torsion, the torsion connection is an SU(3) instanton if and only if the torsion is parallel, and the Hull connection is an instanton if and only if the torsio...
Discussion (0). Continue with ORCID to comment.