  Static spherically symmetric Kalb-Ramond (KR) traversable wormholes in
torsioned spacetime are shown not to exist globally since torsion vanishes not
only at the wormhole throat but in all spacetime points which means that all
components of the KR field vanish identically. With this result Hochberg-Visser
result on the non-violation of the weak energy (WEC) condition in the presence
of four-dimensional Einstein-Cartan-Kalb-Ramond (ECKR) geometry with totally
skew-symmetric Cartan torsion seems to be a trivial one.
