Here are the wikipedia definitions which are quite correct. Our services cover both areas.
Product management is an organizational lifecycle function within a company dealing with the planning, forecasting, or marketing of a product or products at all stages of the product lifecycle.
The role consists of Product development and product marketing, which are different (yet complementary) efforts, with the objective of maximizing sales revenues, market share, and profit margins.
The product manager is often responsible for analyzing market conditions and defining features or functions of a product. The role of product management spans many activities from strategic to tactical and varies based on the organizational structure of the company.
While involved with the entire product lifecycle, product management's main focus is on driving new product development. According to the Product Development and Management Association (PDMA), superior and differentiated new products — ones that deliver unique benefits and superior value to the customer — is the number one driver of success and product profitability.
Product marketing deals with the first of the "7P"'s of marketing, which are Product, Pricing, Place, and Promotion, Packaging, Positioning & People. Product marketing, as opposed to product management, deals with more outbound marketing tasks (in the older sense of the phrase). For example, product management deals with the nuts and bolts of product development within a firm, whereas product marketing deals with marketing the product to prospects, customers, and others.
Product marketing, as a job function within a firm, also differs from other marketing jobs such as marketing communications ("marcom"), online marketing, advertising, marketing strategy, public relations, etc.