T.I H-Bridge design with No protection diodes?
I see no schottky diodes protecting it from the proverbial inductive
  spike. How come?


The bulk diode that is pretty much a 100% feature of all modern enhancement mode MOSFETs can be relied upon to shunt any excess energy from inductive loads to the power rails. Most data sheets go to great length to describe the bulk diode's characterisitic so that the reader is under no-doubt that they can be relied upon. For the MOSFET in your design: -




Forward voltage is maximum of 1 volt at 10 amps
Reverse recovery time is typically 53 ns


In addition it has a couple of graphs that help the designer: -




  a Resistor-Zener network is provided on the switch nodes of the driver
  to protect it from overshoots and undershoots


That's to protect the MOSFET driver ICs.


  what is the purpose of the resistor and capactors highlighted inside
  the bridge??


R6 and R7 protect the zeners i.e. they limit current into the zeners that protect the driver ICs. The capacitors supplement the internal drain source capacitors of the MOSFETs (circa 300 pF) and although they represent a switching loss overall, probably are provided for EMC reasons.